NOSTBAEFD'S   SCIENCE 


TC 


Cents, 


BAUL1C  TABLES 


CALCULATION  OF  THE  DISCHARGE 


PIPES  AND  COplTS; 

BA8EC   Olv.    KUTTER  3  FC    !   '.ULA. 


A7;\r  ^9n7  Engineer. 


' '-  •  -••'  •  ^  MAGAZINE. 


i\V  YORK  : 
ND  COMPANY, 
AND  27  WABREN  STREETS, 
1883. 


THE  VAN  NOSTRAND  SCIENCE  SERIES. 

IGmo.  Boards.     Price  .50  Cents  Each. 
Amply  Illustrated  when  tfie  Subject  Demands. 


LIBRARY 

OF  THE 

UNIVERSITY  OF  CALIFORNIA. 

GIRT  OR 

I    & (^La^dJ^ 

Received  ,  IQO 

Accession  No.    ft  j£  $  3  9>    Class  No. 


No.  &— A  TREATISE  ON  THE  COMPOUND  ENGINE.  By 
John  TurEbull,  jun.  Second  edition,  revised  by 
Prof.  S.  W.  Robinson. 

No.  $<«-&  TREATISE  ON  FUEL.  By  Arthur  V.  Abbott, 
C.E.  Founded  on  the  original  treatise  of  C.  Will- 
iam Siemens,  D.C.L. 

No.  10*— COMPOUND     ENGINES.      Translated  .  from    the 

French  of  A.   Mallet.    Second  edition,   revised, 

with  results  of  American  Practice  by  Richard  H. 

Buel,  C,E. 

No.  11.— THEORY  OF  ARCHES.    By  Prof.  W.  Allan. 
No.  J2.— THEORY  OF  VOUSSOIR  ARCHES.    By  Prof.  W. 

?   Cain.    Second  edition,  revised  and  enlarged. 
No.  1&— GASES  MET  WITH  IN  COAL-MINES.     By  J.  >J. 

Atkinson.    Third  edition,  revised  and  enlarged 

by  Edward  H.  Williams,  jun. 
No.  14,— FRICTION  OF  AIR  IN  MINES.    By  J.  J.  Atkinson. 

Second  American  edition. 

No.  16,— SKEW  ARCHES.   By  Prof.  E.  W.  Hyde,  C.E.  Illustr. 
No.  16.— A  GRAPHIC  METHOD  FOR  SOLVING  CERTAIN 

ALGEBRAIC  EQUATIONS.    By  Prof.  G.  L.  Vose. 
No.  1/7.— WATER  AND  WATER-SUPPLY.    By  Prof.  W.  H. 

Corfield    of    the    University    College,    London. 

Second  American  edition. 
No.   18.— SEWERAGE   AND    SEWAGE   PURIFICATION.     By 

M.  N.  Baker,  Associate  Editor  "  Engineering  News." 


THE  VAN  NOSTRAND  SCIENCE  SERIES. 

No.  19.— STRENGTH  OF  BEAMS  UNDER  TRANSVERSB 
LOADS.  By  Prof.  W.  Allan,  author  of  "  Theory 
of  Arches.1'  Second  edition,  revised. 

No.  20.— BRIDGE  AND  TUNNEL  CENTRES.  By  John  B. 
McMaster,  C.E.  Second  edition. 

No.  21.-SAFETY  VALVES.  Second  Edition.  By  Richard 
H.  Buel,  C.E. 

No.  22.— HIGH  MASONRY  DAMS.  By  E.  Sherman  Gould, 
M.  Am.  Soc.  C.  E. 

No.  23.— THE  FATIGUE  OF  METALS  UNDER  REPEATED 
STRAINS.  With  various  Tables  of  Results  and 
Experiments.  From  the  German  of  Prof.  Ludwig 
Spangen burgh,  with  a  Preface  by  S.  H.  Shreve, 
A.M. 

No,  24.— A  PRACTICAL  TREATISE  ON  THE  TEETH  OF 

WHEELS.    By   Prof.  S.  W.  Robinson.    Second 

edition,  revised. 
No.  25.— ON  THE  THEORY  AND  CALCULATION  OF  CON- 

TINUOUS  BRIDGES.     By  Mansfield  Merriman, 

Ph.D. 

No.  26.— PRACTICAL  TREATISE  ON  THE  PROPERTIES 

OF     CONTINUOUS     BRIDGES.      By     Charles 

Bender,  C.E. 
No.  27.— ON  BOILER  INCRUSTATION  AND  CORROSION. 

By  F.  J.  Rowan.   New  Ed.  Rev.  by  F.  E.  Idell. 
No.  28.— TRANSMISSION  OF  POWER  BY  WIRE  ROPES. 

Second  edition.    By  Albert  W.  Stahl,  U.S.N. 

No.  29.— STEAM  INJECTORS.  Translated  from  the  French 
of  M.  Leon  Pochet. 

No.  30.— TERRESTRIAL  MAGNETISM  AND  THE  MAG- 
NETISM OF  IRON  VESSELS.  By  Prof.  Fair- 
man  Rogers. 

No.  31.— THE  SANITARY  CONDITION  OF  DWELLING- 
HOUSES  IN  TOWN  AND  COUNTRY.  By 
George  E.  Waring,  jun. 

No.  32.— CABLE-MAKING   FOR  SUSPENSION  BRIDGES. 

By  W.  Hildebrand,  C.E. 
No.  33.— MECHANICS  OF  VENTILATION.    By  George  W. 

Rafter,  C.E.     New  and  Revised  Edition. 
No.  34.-FOUNDATIONS.    By  Prof.  Jules  Gaudard,    C.E. 

Second  edition.    Translated  from  the  French. 
No.  35;— THE  ANEROID  BAROMETER :    ITS  CONSTRUC- 
TION   AND  USE.     Compiled    by    George     W. 

Plympton.    Fourth  edition. 
No.  36.— MATTER  AND  MOTION.    By  Jv  Clerk  Maxwell, 

M.A.    Second  American  edition. 
No.  37.— GEOGRAPHICAL      SURVEYING  ;,     ITS    USES, 

METHODS,    AND    RESULTS;     By    Frank   De 

Yeaux  Carpenter,  C.E. 

No.  38.— MAXIMUM  STRESSES  IN  FRAMED  BRIDGES. 
By  Prof.  William  Cain,  A.M.,  C.E. 

New  and  revised  edition. 


THE  VAN  NOSTRAND  SCIENCE  SERIES. 


No.  90.-A  HANDBOOK  OF  THE  ELECTRO-MAGNEIIC 
TELEGRAPH.  By  A.  E.  Loring. 

No.  40.— TRANSMISSION  OF  POWER  BY  COMPRESSED 
AIR.  By  Robert  Zahner,  M.E.  Second  edition. 

No.  41.— STRENGTH  OF  MATERIALS.  By  William  Kent, 
C.  E.,  Assoc.  Editor,  Engineering  News.  Second  Ed. 

No.  42.— VOUSSOIR  ARCHES  APPLIED  TO  STONE 
BRIDGES,  TUNNELS,  CULVERTS,  AND 
DOMES.  By  Prof.  William  Cain. 

No.  43.— WAVE  AND  VORTEX  MOTION.  By  Dr.  Thomas 
Craig,  of  Johns  Hopkins  University. 

No.  44.— TURBINE  WHEELS.  By  Prof.  W.  P.  Trowbridge, 
Columbia  College.  Second  edition.  Revised. 

No.  45.— THERMODYNAMICS.  By  Prof.  H.  T.  Eddy,  Uni- 
versity of  Cincinnati. 

No.  46.— ICE-MAKING  MACHINES.  From  the  French  of 
M.  Le  Doux.  Revised  by  Prof.  Denton. 

No.  47.— LINKAGES  ;  THE  DIFFERENT  FORMS  AND 
USES  OF  ARTICULATED  LINKS.  By  J.  D.  C. 
de  Roos. 

No.  48.— THEORY  OF  SOLID  AND  BRACED  ARCHES 
By  William  Cain,  C.E. 

No.  40.— ON  THE  MOTION  OF  A  SOLID  IN  A  FLUID. 
By  Thomas  Craig,  Ph.D. 

No.  50.— DWELLING-HOUSES:  THEIR  SANITARY  CON- 
STRUCTION AND  ARRANGEMENTS.  By  Prof. 
W.  H.  Corfield. 

No,  51.— THE  TELESCOPE:  ITS  CONSTRUCTION,  ETC. 
By  Thomas  Nolan. 

No.  52.— IMAGINARY  QUANTITIES.  Translated  rrom  the 
French  of  M.  Argand.  By  Prof.  Hardy. 

No.  53.— INDUCTION  COILS:  HOW  MADE  AND  HOW 
USED.  Fifth  edition. 

No.  54.— KINEMATICS  OF  MACHINERY.  By  Prof.  Ken- 
nedy. With  an  introduction  by  Prof.  R.  H. 
Thurston. 

No.  55.— SEWER  GASES  :  THEIR  NATURE  AND  ORIGIN. 
By  A.  de  Varona.  3d  ed.,  revised  and  enlarged. 

No.  56.— THE  ACTUAL  LATERAL  PRESSURE  OF  EARTH- 
WORK. By  Benjamin  Baker,  M.  Inst.  C.E. 

Ne-  57.— INCANDESCENT  ELECTRIC  LIGHTING.  A 
Practical  Description  of  the  Edison  System.  By 
L.  H.  Latimer,  to  which  is  added  the  Design  and 
Operation  of  Incandescent  Stations.  By  C.  J. 
Field,  and  the  Maximum  Efficiency  of  Incandes- 
cent Lamps,  by  John  W.  Howell. 

No.  58.— THE  VENTILATION  OF  COAL-MINES.  By  W. 
Fairley,  M.E.,  F.S.S.,  and  Geo.  J.  AndrS, 

No.  59.— RAILROAD  ECONOMICS ;  OR,  NOTES,  WITH 
COMMENTS.  By  S.  W.  Robinson.  C.E.  ' 


HYDfjAULIC  TABLES 

FOR  THE 

CALCULATION  OF  THE  DISCHARGE 

THROUGH 

SEWERS,  PIPES  AND  CONDUITS; 

BASED  ON   KUTTER'S  FORMULA. 


By  P.  J*FL  YNN,  Civil  Engineer. 


REPRINTED  FROM  VAN   NOSTRAND'S  MAGAZINE. 


i 

$8^ 


NEW  YORK  : 

D.  VAN  NOSTKAND  COMPANY,  PUBLISHERS, 

23  MURRAY  AND  27  WARREN  STREETS. 

1883. 


339- 


PREFACE. 


THE  usefulness  of  such  tables  as  are 
presented  in  the  following  pages  requires 
no  demonstration  in  a  preface.  A  glance 
at  the  explanatory  text  and  tabular  ar- 
rangement of  the  values  will  be  sufficient 
to  convince  the  practical  engineer,  who 
has  ever  had  occasion  to  apply  Kutter's 
formula,  that  the  present  collection  is  in 
an  eminent  degree  of  the  labor  saving 
kind. 

EDITOR  OF  MAGAZINE. 


Hydraulic  Tables  Based  on 
Kntter's  Formula. 


THE  tables  given  below  are  intended  to 
facilitate  the  calculation  of  velocities, 
discharges,  slopes  and  dimensions  of 
sewers  and  other  conduits,  and  their  use 
will  effect  a  great  saving  of  time  ;  as,  for 
instance,  instead  of  calculating  the  ve- 
locity and  discharge  by  the  use  of  a 
troublesome  formula,  the  same  result, 
practically,  will  be  arrived  at  by  taking 
the  product  of  two  factors  given  in  the 
tables. 

Kutter's  formula  is  a  complicateu  equa- 
tion, and  in  its  general  form  is  : 

v= c*/r~s  in  which 


In  this  and  the  following  formulae, 


6 

v=mean  velocity  in  feet  per  second. 
c= coefficient  of  mean  velocity. 
s~  fall  of  water  surface  (h)  in  any  dis- 
tance (/)  divided  by  that  distance  = 

h      . 

-y  =  sme  oi  slope. 

I/ 

r= hydraulic  mean  depth=area   of   cross 
section  of  water  divided  by  wetted 

a 

perimeter=— . 
P 

d=  diameter  of  circular  channel. 
a = area  of  cross  section  of  water. 
p= wetted  perimeter. 
Q= discharge  in  cubic  feet  per  second. 
n=ihe   natural   coefficient   depending  on 
the  nature  of  the  bed,   that  is,  the 
lining  of  the  channel  over  which  the 
water  flows,  which    throughout  this 
article,  and  in  the  preparation  of  the 
tables,  has  been  taken  at  .015. 
Mr.  J.  C.  Trautwine,  in  his  Engineers 
Pocket  Book,  states  that,  "  In  considera- 
tion  of    the    rough    character    of    sewer 
brickwork  generally,"  he  has   taken  n  = 
.015   in  Kutter's  formula  when  he  calcu- 
lated the  velocities  in  sewers. 


Mr.  R.  Hering,  in  a  paper  read  before 
the  American  Society  of  Civil  Engineers 
in  1878  on  the  velocity  and  discharge  of 
sewers,  gave  : 

"^  =  .015  "  for  "foul  and  slightly  tuber- 
culated  iron  ;  cement  and  terra  cotta 
pipes  with  imperfect  joints,  and  in  bad 
order  ;  well  dressed  stonework  and  sec- 
ond-class brickwork."  The  tables  do  not 
apply  to  channels  with  smooth  or  plas- 
tered surfaces.  They  are  intended  to 
apply  only  to  sewers,  conduits  and  other 
-channels  whose  surfaces  exposed  to  the 
flow  of  water  are  of  second-class  brick- 
work, or  have  surfaces  of  other  material 
equally  rough,  such,  for  instance,  as  those 
given  above  from  Mr.  Hering's  paper. 

The  general  form  of  Kutter's  formula 
is  : 

v  —  c^/^s—.c^X^/T    .      .      .      (1). 
from  which 


" 


(3). 


8 

2 


ac^/rrX<\/7       .      .      .     (5). 
from  which 

«=«-       .......     (6). 

V 


ac^/r 


The  values  of  c^/7  and  ac^/7  for  173 
diameters  are  given  in  Table  1,  and  the 
values  of  /^/«~for  1072  slopes  are  given  in 
Table  2.  It  will  then  be  seen  that  a  large 
range  of  channels  numbering  185456  are 
included  in  these  tables.  The  velocity  is 
found  by  the  product  of  two  factors  c^/r* 
and  /y/«7  and  in  a  similar  way  the  dis- 
charge is  found  by  the  product  of  the  two 
factors  ac^/r~and  ^/sT 

In  Kutter's  formula  given  above  the 
value  of  c  is  found  from  an  equation  in- 


9 

volving  the  value  of  ry  n  and  s,  so  that 
any  change  in  the  value  of  s  would  cause 
a  change  in  the  value  of  c,  but  as  the 
influence  of  s  on  the  value  of  c  is  not  very 
marked  in  such  slopes  as  are  usually 
adopted  for  sewers  and  conduits,  the  value 
of  the  coefficient  has  been  calculated  for 
one  slope,  that  of  1  in  1000  or  s— .001. 
This  value  of  the  coefficient  is  practically 
constant  for  all  values  of  s  with  a  steeper 
slope  than  1  in  1000,  and  as  sewers  are 
generally  designed  with  steeper  slopes 
than  1  in  1000,  the  tables  are  well  adapted 
to  facilitate  the  calculations.  For  flatter 
slopes  than  1  in  1000  up  to  even  2  feet 
per  mile,  or  1  in  2640,  the  tables  give 
results  showing  a  maximum  error  in  the 
case  of  a  sewer  2  feet  in  diameter  of  less 
than  2  per  cent.,  and  in  the  case  of  a  sewer 
8  feet  in  diameter  less  than  £  per  cent.  ; 
therefore,  for  all  practical  purposes,  the 
tables  are  sufficiently  accurate. 

The  hydraulic  mean  depth  of  a  cylin- 
drical conduit  flowing  full  is  equal  to  one- 
fourth  of  the  diameter. 

The   mean  velocity  in    circular    sewers 


10 

and    conduits  is  the  same  when    running 
half  full  as  when  running  full. 

APPLICATION  AND  USE  OF  THE  TABLES. 

To  find  the  mean  velocity  in  feet  per 
second  and  the  discharge  in  cubic  feet 
per  second. 

Example  1.  —  A  circular  brick  sewer 
has  a  diameter  of  3  feet  and  a  fall  of  1  in 
500.  What  is  its  mean  velocity  in  feet 
per  second  and  also  its  discharge  in  cubic 
feet  per  second  ? 

By  formula  (l)  v~c^/r'  X  ^/'s7 

In  column  4  of  table  1  and  opposite  3 
feet  diameter  the  value  of  c^/r~  is  found 
equal  to  80.77,  and  in  table  2  opposite  1  in 
500  the  value  of  ^/s~  is  found  equal  to 
.044721  ;  substituting  these  values  in  equa- 
tion, we  have  : 


=  3.61  feet  per  second  the  mean  ve- 
locity. 

By  formula  (5)  Q,=av=a  X  3.61,  but  by 
table  2  the  area  of  a  sewer  3  feet  in  diam- 
eter =7.06  8  ;  substitute  this  value  in  equa- 
tion and 


OTf   T» 


II 


Q=7.068X3.61 

=  25.52,  the  discharge  in  cubic 
feet  per  second. 

Again,  as  a  check, 

By  formula  (5)  Q=ac^F  X  ^/7. 

In  column  4  of  table  1,  and  opposite  3 
feet  diameter  the  value  of  ac^/f  is  given 
as  570.9,  substituting  this  value  and  also 
the  value  of  ^/^  as  found  above,  in  equa- 
tion we  have 

Q=570.9X.044721  =  25.53    . 
cubic  feet  per  second  the  discharge,  which 
is  the  same  as  already  found  above. 

Example  2. —  To  find  the  diameter. — 
(d).  The  grade  (s)  of  a  sewer  is  to  be  1 
in  480,  and  its  mean  velocity  (v)  4  feet 
per  second.  What  is  the  required  diam- 
eter ?  By  formula  (2). 

GVr  — — 7= 

7       V* 

In  column  3  of  table  2  we  find  for  a 
slope  of  1  in  480  that  yj"  is  equal  to 
.045644.  Substitute  this  in  equation,  and 
also  the  value  of  v  already  given,  and 


12 

Now  look  in  column  4  of  table  1  for  the 
nearest  value  of  c^/7  to  this  which  we 
find  to  be  87.15,  opposite  3  feet  4  inches  in 
diameter,  which  is  the  diameter  required. 
Example  3.  —  To  find  the  grade  of 
Sewer.  —  A  sewer  2  feet  6  inches  diameter 
is  to  have  a  velocity  when  running  full  or 
half  full  of  not  more  than  3^  feet  a  sec- 
ond. What  should  its  grade  be  ? 

v 
By  formula  (3)  v«~—  -  — 


In  column  4  of  table  1  find  opposite  the 
diameter  2  feet  6  inches  that  c^/'r  is  equal 
to  70.74.  Substitute  this  value  and  also 
the  value  of  v  already  given  in  equation, 

and  ^/^~=—  -  —  =.049477.  Now  look  out 

the  nearest  the  value  of  ^/s~  to  this  in 
column  3  of  table  2,  which  we  find  to  be 
.04C507,  opposite  a  slope  of  1  in  408, 
which  is  the  required  grade. 

To  find  the  grade  of  sewer  when  the 
grade  is  not  given  in  Table  2. 

Example  4.  —  A  sewer  having  a  diam- 
eter of  8  feet  is  to  have  a  velocity  of 


13 

3i  feet  per  second.  What  is  its  required 
grade? 

v 

By  formula  (3)    *JT  —  —  7=1.      Look  out 
cyr 

thp  value  of  c^/7  for  8  feet  diam- 
eter in  Table  1,  and  it  will  be  found  to 
be  158.7.  Substitute  this  value  and  also 
the  value  of  v  already  given  in  equation 
and 


On  looking  for  this  value  of  yTin  Table 
2  it  is  not  to  be  found,  therefore  square 
each  side  of  equation 

yT=.022054  and  we  get 
«=.000486379 


=2056'  therefore  the 


is  1  in  2056. 

To  find  the  diameter  (d). 

Example  5.  —  A  sewer  is  to  discharge  9 
cubic  feet  of  water  per  second  and  its  grade 
is  to  be  1  in  200.  What  is  its  diameter  to  be  ? 


14 
By  formula  (7)  ac~/r'= — —  -.      In   the 

Vs 

third  column  of  Table  2  and  opposite  1  in 
200  the  value  of  ^/g~  is  found  to  be 
.070710.  Substitute  this  value  and  the 
discharge  already  given  in  equation,  and 

Q 

we  have  ac^/7  —  -———-—  127.28.         In 

column  5  of  Table  1,  the  value  of  acy9~ 
nearest  to  this  we  find  to  be  130.58,  op- 
posite to  which  is  the  diameter  of  1  foot 
9  inches,  which  is  the  diameter  required. 

To  find  the  grade  or  slope  of  sewer,     (s). 

Example.  6. — A  sewer  6  feet  in  diam- 
eter is  required  to  discharge  180  cubic 
feet  of  water  per  second.  What  should 
be  its  slope? 

By  formula  (8)    v/«~= — ~^-      In  col- 

aeyr 

umn  5  of  table  1  and  opposite  6  feet  in 
diameter  the  value  of  ac\/r~is  found  equal 
to  3702.3.  Substitute  this  and  also  the 
value  of  Q  in  equation,  and  we  have 

1  80 
' 


15 

column  4  of  Table  2  look  out  the  number- 
nearest  to  this,  which  will  be  found  to  be 
.045621  opposite  a  slope  1  in  423,  there- 
fore the  required  grade  is  1  in  423. 

To  find  diameters  in  a  series  of  sewers 
with  increasing  discharge. 

Example  7.  —  A  circular  sewer  has  for 
500  feet  in  length  to  discharge  10  cubic 
feet  per  second,  then  for  600  feet  more 
has  to  discharge  12  cubic  feet  per  second, 
and  again  for  700  feet,  farther  on  15  cubic 
feet  per  second.  The  total  fall  available 
is  5  feet.  What  is  the  required  diameter 
and  fall  of  each  section  ?  The  total  length 
is  1800  feet  and  5/i8oo  =  -002777  —  s  and 


By  formula  (7),  ac^r~= 


In  this  equation  substitute  values  of  Q  and 
s  for  each  section  and  find  the  correspond- 
ing diameters,  which  will  be  the  diameter 
required. 


16 

89-7  1         (  diam.2'-0" 


Now  5=--  /.  A=s/,  therefore  the 
6 

Fall  of  first  section  —sl=.  002  777 

X500  .............................  =  1.89  ft. 

Fall  of  second  section=s£=.002777 

X600  ..............................  =1.67  '« 

Fall  of  third  section=:^=.002777 

X700  ..........  ,..  =  1.95  " 


Total  fall 5.00ft. 

We  have,  therefore, 

1st  section,    diameter   2' — 0",  fall  1.39  ft. 
2d         "  "          2—2"      "     1.67  " 

3d         "  "          2' — 4"     "     1.94  " 

To  find  velocity  and  discharge  of  tra- 
pezoidal channel. 

Example  8. —  A  trapezoidal  channel 
lined  with  brickwork,  6  feet  wide  at  bot- 
tom and  with  side  slopes  of  1  to  1,  has  2 


17 

feet  in  depth  of  water  and  a  grade  of  1  in 
160.  What  is  its  velocity  and  discharge 
per  second  ? 

Area  (#)= X2  — 16  square  feet. 


Wetted   primeter     ( 
+6  =  11.  66  feet. 

/.  Hydraulic  mean  depth 


In  column  3  of  Table  1  look  out  the 
nearest  value  of  r  to  this  which  we  find  to 
be  1.375,  and  corresponding  to  this  we 
find  c^/r  equal  to  123.5.  In  Table  2  for 
a  slope  of  1  in  160  the  value  of  <\/H  is 
found  to  be  =  .079057. 

Now  by  formula  (l)  v  =  c^/r  X  ^/7  and 
"  "  "  (5)  Q,=av  substitut- 
ing the  values  above  found  of  the  factors, 
then  v  =  123.5  x.  079057  =9.76  feet  per 
second  and  Q=16+9.76  =  156.2  cubic  feet 
per  second,  therefore  the  mean  velocity 
is  equal  to  9.76  feet  per  second  and  the 
discharge  equal  to  156.2  cubic  feet  per 
second. 


18 

To  find  the  dimensions  of  a  circular 
sewer  to  replace  a  rectangular  brick  chan- 
nel. 

Example  9. — An  open  brick  channel  5 
feet  wide  at  bottom,  with  vertical  sides, 
has  a  depth  of  water  in  floods  of  3  feet 
and  a  slope  of  1  in  520.  It  is  intended 
to  substitute  for  it  a  circular  sewer  whose 
mean  velocity  flowing  full  shall  be  about 
£  ft.  per  second.  What  should  be  the 
diameter  and  grade  of  the  new  circular 
sewer  flowing  full  ? 

In  Table  2  the  /y/«~  for  a  grade  of  1  in 
520  =  .043853. 

Area  of  rectangular  channel  (a)  —  5-J-3 
=  15  sq.  ft.  Wetted  perimeter  (/>)— 3+ 
5-f-3  =  li  feet.  /.  Hydraulic  mean  depth 

(r)—-—^- 1.364.  In  Table  1  find  corres- 
ponding to  this  hydraulic  mean  depth  the 
nearest  c^/r^  which  is  123.5. 

By  formula  (5)  Q= a+c \/7+  \/7 'sub- 
stitute the  values  found  above,  of  the 
factors  in  right  hand  side  of  equation,  and 
«Q=15X123.5+.043853:=:81.24  cubic  feet 


19 

per  second,  the  discharge  from  the  rec- 
tangular channel. 

We  have  now  to  find  the  diameter  and 
grade  of  a  circular  sewer  to  convey  this 
quantity  of  water  with  a  velocity  not 
greater  than  5  feet  per  second. 

By  formula  (6)  a—  —  substitute    values 

«=  —  -  —  =16.248     square    feet=area    of 

circular  sewer.  In  column  2  of  Table  1 
we  find  the  area  nearest  in  value  to  this 
=16.499,  and  the  corresponding  diameter 
equal  to  4  feet  7  inches,  and  at  the  same 
time  find  the  value  of  the  corresponding 
ac^/r  which  is  1796.5. 

By  formula  (8)   A/*~=  -  7=    substitute 

ac^/r 

values   of  Q  and  ac^/r  found   above  and 


In  Table  2  we  find  the  grade  corresponding 
to  this  equal  to  1  in  489,  therefore  the 
diameter  of  circular  sewer  is  4  feet  7 
inches,  and  the  grade  1  in  489. 


21 


CIRCULAR    SEWERS    AND    CON- 
DUITS  FLOWING  FULL. 


TABLE    1. — GIVING  VALUES    OF   a  AND  r 

AND     ALSO     THE     FACTORS     C^/f   AND 

ALSO  ac^/rl 

These  factors  are  to  be  used  only  where  the 
value  of  n,  that  is  the  coefficient  of  roughness  of 
lining  of  channel =.015,  as  in  second  class  or 
rough-faced  brickwork,  well-dressed  stone  work, 
foul  and  slightly  tuberculated  iron,  cement  and 
terra  cotta  pipes  with  imperfect  joints  and  in  bad 
order. 

7*-     Q,=av=ac  \/r  X  \A- 


d=di- 
ameter 
in 
ft.     in. 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 

velocity. 

c\/r 

For 
discharge 
ac^/r~ 

0      5 

0.136 

0.104 

17.36 

2.3615 

0     6 

0.196 

0.125 

20.21 

3.9604 

0     1 

0.267 

0.146 

22.95 

6.1268 

0     8 

0.349 

0.167 

25.56 

8.9194 

22 


(^di- 
ameter 
in 
ft.     in. 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r~ 

For 
discharge 
ac^/r 

0      9 

0.442 

0.187 

28.10 

12.421 

0   10 

0.545 

0.208 

30.52 

16.633 

0   11 

0.660 

0.229 

33.03 

21  .  798 

1      0 

0.785 

0.250 

35.40 

27.803 

1      1 

0.922 

0.271 

37.60 

34.664 

1     2 

1.069 

0.292 

39.85 

42.602 

1     3 

1.227 

0.312 

42.05 

51.600 

1     4 

1.396 

0.333 

44.19 

61  .  685- 

1     5 

1.576 

0.354 

46.36 

73.066 

1     6 

1.767 

0.375 

48.38 

85.496 

1     7 

1.969 

0.396 

50.40 

99.242 

1     8 

2.182 

0.417 

52.45 

114.46 

1     9 

2.405 

0.437 

54.29 

130.58 

23 


d=di- 
ameter 
in 
ft.     in. 

i 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r 

For 
discharge 
ac^r 

1    10 

2.640 

0.458 

56.29 

148.61 

1   11 

2.885 

0.479 

58.20 

167.90 

2      0 

3.142 

0.500 

60.08. 

188.77 

2      1 

3.409 

0.521 

61.95 

211.20 

2     2 

3.687 

0.542 

63.72 

234.94 

2     3 

3.976 

0.562 

65.51 

260.47 

2     4 

4.276 

0.583 

67.32 

287.87 

2     5 

4.587 

0.604 

69.02 

316.59 

2     6 

4.909 

0.625 

70.74 

347.28 

2     7 

5.241 

0.646 

72.59 

380.46 

2     8 

5.585 

0.667 

74.27 

414.81 

2     9 

5.939 

0.687 

75.98 

451.23 

2  10 

6.305 

0.708 

77.56 

488.99 

24 


^di- 
ameter 
in 
ft.     in. 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

<jyV~ 

For 
discharge 

ac^/r 

2  11 

6.681 

0.729 

79.16 

528.85 

3     0 

7.068 

0.750 

80.77 

570.90 

3     1 

7.466 

0.771 

82.39 

615.14 

3     2 

7.875 

0.792 

84.03 

661  .  77' 

3     3 

8.295 

0.812 

85.54 

709.56 

3     4 

8.726 

0.833 

87.15 

760.44 

3     5 

9.169 

0.854 

88.61 

812.38 

3     6 

9.621 

0.875 

90.11 

866.91 

3     7 

10.084 

0.896 

91.60 

923  .  70 

3     8 

10.559 

0.917 

93.11 

983.11 

3     9 

11.044 

0.937 

94.62 

1045.0 

3  10 

11.541 

0.958 

96.15 

1109.6 

3  11 

12.048 

0.979 

97.55 

1175.2 

25 


d=di- 
ameter 
in 
ft.     in. 

#=  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r 

For 
discharge 

ac^Jr 

4      0 

12.566 

1.000 

99.10 

1245.3 

4      1 

13.096 

1.021 

100.5 

1315.8 

4     2 

13.635 

1.042 

102.0 

1390.8 

4     3 

14.186 

1.062 

103.4 

1466.7 

4     4 

14.748 

1.083 

104.8 

1545.7 

4     5 

15.321 

1.104 

106.2 

1627.0 

4     6 

15.904 

1.125 

107.6 

1711.4 

4     7 

16.499 

1.146 

108.9 

1796.5 

4     8 

17.104 

1.167 

110.3 

1886.8- 

4     9 

17.721 

1.187 

111.6 

1977.7' 

4  10 

18.348 

1.208 

113.0 

2074.1 

4  11 

1  18.986 

1.229 

114.4 

2172.9 

6     p  i  ID.  635      1.250  '  115.7 

,  2272.7 

fcdi- 
ameter 
in 
ft.     in. 

rr^area  in 
square  ft. 

r=hj- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r 

For 

discharge 

ac^/r 

5      1 

20.295 

1.271 

117.1 

2376.7 

5      2 

20.966 

1.292 

118.4 

2482.0 

5     3 

21.648 

1.312 

119.7 

2590.5 

5     4 

22.340 

1.333 

121.0 

2702.1 

5     5 

23.044 

1.354 

122.2 

2816.7 

5     6 

23  .  758 

1.375 

123.5 

2934.8 

5     7 

24.484 

1.396 

124.8 

3056.4 

5     8 

25.220 

1.417 

126.0 

3177.3 

5     9 

25.967 

1.437 

127.3 

3305.6 

5  10 

26.725 

1.458 

128.6 

3436.3 

5  11 

27.494 

1.479 

129.7 

3566.6 

6     0 

28.274 

1.500 

131.0 

3702.3 

6     3 

30.680 

1.562 

134.6 

4130.3 

d=di- 

ameter 
in 
ft.     in. 

a=rarea  in 
square  ft. 

r—  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r 

For 
discharge 
ac^/r 

4588.3 

6     6 

33.183 

1.625 

138.3 

6     9 

35.785 

1.687 

141.8 

5074.7 

7     0 

38.485 

1.750 

145.3 

5591.6 

7     3 

41.283 

1.812 

148,7 

6136.8 

7     6 

44.179 

1.875 

152.0 

6717.0 

7     9 

47.173 

1.937 

155.5 

7333.5 

8     0 

50.266 

2.000 

158.7 

7978.  a 

8     3 

53.456 

2.062 

162.0 

8658.8 

8     6 

56.745 

2.125 

165.3 

9377.9 

8     9 

60.132 

2.187 

168.4 

10128 

9     0 

63.617 

2.250 

171.6 

10917 

9     3 

67.201 

2.312 

174.7 

11740 

9     6 

70.882 

2.375 

177.7 

12594 

28 


d=di- 
ameter 
in 
ft.     in. 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c<\/r 

For 

discharge 

ac\/r 

9     9 

74.662 

2.437 

180.7 

13489 

10     0 

78.540 

2.500 

183.7 

14426 

10     3 

82.516 

2.562 

186.7 

15406 

10     6 

86.590 

2.625 

189.5 

16412 

10     9 

90.763 

2.687 

192.4 

17462 

11     0 

95.033 

2.750 

195.2 

18555 

11     3 

99.402 

2.812 

198.1 

19694 

11     6 

103.87 

2.875 

201.0 

20879 

11     9 

108.43 

2.937 

203.7 

22093 

12     0 

113.10 

3.000 

206.5 

23352 

12     3 

117.86 

3.062 

209.2 

24658 

12     6 

122.72 

3.125 

212.0 

26012 

12     9 

127.68 

3.187 

214.6 

27399 

13     0 

132.73 

3,250 

217.4 

28850 

29 


d=di- 
ameter 
in 
ft.     in. 

a  —  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth. 

For 
velocity. 

c^/r' 

For 
discharge 
ac^/r 

13   3 

137.88 

3.312 

220.0 

30330 

13  6 

143.14 

3.375 

222.6 

31860 

13  9 

148.49 

3.437 

225.2 

33441  . 

14  0 

153.94 

3.500 

227.8 

35073 

14  3 

159.48 

3.562 

230.0 

36736 

14  6 

165.13 

3.625 

232.9 

38454 

14  9 

170.87 

3.687 

235.4 

40221 

15  0 

176.72, 

3.750 

237.9 

42040 

15  3 

182.65 

3.812 

240.5 

43931 

15  6 

188.69 

3.875 

242.8 

45820 

15  9 

194.83 

3.937 

245.3 

47792 

16  0 

201.06 

4.000 

247.8 

49823 

16  3 

207.40 

4.062 

250.3 

51904 

16  6 

213.83 

4.125 

252.7 

54056 

30 


d—  di- 
ameter 
in 
ft.     in. 

a—  area  in 
square  ft. 

r:=  hy- 
draulic 
mean 
depth. 

For            For 
velocity,    discharge 

c\/r        ac^/r 

16  9 

220.35 

4.187 

254.9 

56171 

17  0 

226.98 

4.250 

257.2 

58387 

17  3 

233.71 

4.312 

259.7 

60700 

17  6 

240.53 

4.375 

261.9 

62999 

17  9 

247.45 

4.437 

264.4 

65428 

18  0 

254.47 

4.500 

266.6 

67839 

18  3 

261.59 

4.562 

268.9 

70346 

18  6 

268.80 

4.625 

271.3 

72916 

18  9 

276.12 

4.687 

273.5 

75507 

19  0 

283.53 

4.750 

275.8 

78201 

19  3 

291.04 

4.812 

278.0 

80916 

19  6 

298.65 

4.875 

280.2 

83686 

19  9 

306.36 

4.937 

282.4 

86526 

20  0 

314  16 

5.000 

284.6 

89423 

31 


TABLE  2. 

GIVING  VALUES  OF  s  AND  y'sT 

ne  of  slope =f  all  of  water  surface  Qi)  in  any 

distance  (I),  divided  by  that  distance  =  - 

• 


Slope 
lin. 

s=sine  of  slope. 

v*. 

4 

.250000000 

.500000 

5 

.200000000 

.447214 

6 

.166666660 

.408248 

7 

.142857143 

.377978 

8 

.125000000 

.353553 

9 

.111111111 

.333333 

10 

.100000000 

.316228 

11 

.090909090 

.301511 

12 

.083333333 

.288675 

13 

.076923077 

.277350 

14 

.071428571 

.267261 

15 

.066666667 

.258199 

32 


Slope 
lin. 

sr=sine  of  slope. 

Vs- 

16 

.062500000 

.250000 

17 

.058823529 

.242536 

18 

.055555555 

.235702 

19 

.052631579 

.229416 

20 

.050000000 

.223607 

21 

.047619048 

.218218 

22 

.045454545 

.213200 

23 

.043478261 

.208514 

24 

.041666667 

.204124 

25 

.040000000 

.200000 

26 

.038461538 

.196116 

27 

.037037037 

.192450 

28 

.035714286 

.  .188982 

29 

.034452759 

....  .185695 

30 

.033333333 

.182574 

31 

.032258065 

.179605 

32 

.031250000 

.176777 

33 

.030303030 

.  .174077 

34 

.029411765 

.171499 

33 


Slope 
lin. 

«=sine  of  slope. 

*/i 

35 

.028571429 

.169031 

36 

.027777778 

.166667 

37 

.027027027 

.164399 

38 

.026315789 

.162221 

39 

.025641026 

.160125 

40 

.025000000 

.158114 

41 

.024390244 

.156174 

42 

.023809524 

.154303 

43 

.023255814 

.152499 

44 

.022727273 

.150756 

45 

.022222222 

.149071 

46 

.021739130 

.147444 

47 

.021276600 

.145865 

48 

.020833333 

.144337 

49 

.020408163 

.142857 

50 

.020000000 

.  141421 

51 

.019607843 

.140028 

52 

.019230769 

.138676 

53 

.018867925 

.137361 

34 


Slope 
1  in. 

s=sine  of  slope. 

v£ 

54 

.018518519 

.136085 

55 

.018181818 

.134839 

56 

.017850143 

.133630 

57 

.017543860 

.132453 

58 

.017241379 

.131305 

59 

.016949153 

.130189 

60 

.016666667 

.129100 

61 

.016393443 

.128037 

62 

.016129032 

.127000 

63 

.015873016 

.125988 

64 

.015625000 

.  125000 

65 

.015384615 

.124035 

66 

.015151515  . 

.123091 

67 

.014925353 

.122169 

68 

.014705882 

.122268 

69 

.014492754 

.120386 

70 

.014285714 

.119524 

71 

.014084507 

.118678 

72 

.013888889 

.117851 

35 


Slope 
1  in. 

s=  sine  of  slope. 

V- 

73 

.013698630 

.117041 

74 

.013513514 

.116248 

75 

.013333333 

.115470 

76 

.013157895 

.114708 

77 

.012987013 

.113961 

78 

.012820513 

.113228 

79 

.012658228 

.112509 

80 

.012500000 

.111803 

81 

.012345679 

.111111 

.82 

.012195122 

.110431 

.83 

.012048193 

.109764 

84 

.011904762 

.109109 

85 

.011764706 

.108465 

86 

.011627907 

.107833 

•87 

.011494253 

.107211 

88 

.011363636 

.106600 

89 

.011235955 

.106000 

90 

.011111111 

.105409 

91 

.010989011 

.104828 

36 


Slope 
1  in. 

s=  sine  of  slope. 

<\A 

92 

,010869565 

.104257 

93 

.010752688 

.103695 

94 

.010638298 

.103142 

95 

.010526316 

.102598 

96 

.010416667 

.102062 

97 

.010309278 

.101535 

98 

.010204082 

.101015 

99 

.010101010 

.100504 

100 

.010000000 

.100000 

101 

.009900990 

.099504 

102 

.009803922 

.099015 

103 

.009708738 

.098533 

104 

.009615385 

.098058 

105 

.009523810 

.097590 

106 

.009433962 

.097129 

107 

.009345794 

.096674 

108 

.009259259 

.096225 

109 

.009174312 

.095783 

110 

.009090909 

.095346 

Slope 
1  in. 

s=sine  of  slope. 

v? 

Ill 

.009009009 

.094916 

112 

.008928571 

.094491 

113 

.008849558 

.094072 

114 

.008771930 

.093659 

115 

.008695652 

.093250 

116 

.008620690 

.092848 

117 

.008547009 

.092450 

118 

.008474576 

.092057 

119 

.008403361 

.091669 

120 

.008333333 

.091287 

121 

.008264463 

.090909 

122 

.008196721 

.090536 

123 

.008130081 

.090167 

124 

.008064516 

.089803 

125 

.008000000 

.089442 

126 

.007836508 

.089087 

127 

.007874016 

.088736 

128 

.007812500 

.088388 

120 

.007751938 

.088045 

38 


Slope 
lin. 

5=sine  of  slope. 

vz 

130 

.007692308 

o  087706 

131 

.007633588 

.087370 

132 

.007575758 

.087039 

133 

.007518797 

.086711 

134 

.007462687 

.086387  , 

135 

.007407407 

.086066 

136 

.007352941 

.085749 

137 

.007299270 

,085436 

138 

.007246377 

.085126 

139 

.007194245 

.084419 

140 

.007142857 

.084516 

141 

.007092199 

.084215 

143 

.007042254 

.083918 

143 

.006993007 

.083624 

144 

.006944444 

.083333 

145 

.006896552 

.083046 

146 

.006849315 

.082760 

<  147 

.006802721 

.082479 

148 

.006756757 

.082199 

39 


Slope 
lin. 

s=:sine  of  slope. 

yr 

149 

.006711409 

.081923 

150 

.006666667 

.081650 

151 

.006622517 

.081379 

152 

,006578947 

.081111 

153 

.006535948 

.080845 

154 

.006493506 

.080582 

155 

.006451613 

.080322 

156 

.006410256 

.080065 

157 

.006369427 

.079809 

158 

.006329114 

.079556 

159 

.006289308 

.079305 

160 

.006250000 

.079057 

161 

.006211180 

.078811 

162 

.006172840 

.078568 

163 

.006134969 

.078326 

164 

.006097561 

.078087 

165 

.006060606 

:  .077850 

166 

.006024096 

.077615 

167 

.005988024 

.077382 

40 


Slope 
1  in. 

s=sine  of  slope. 

V*- 

168 

.005952381 

.077152 

169 

.005917160 

.076923 

170 

.005882353 

.076697 

171 

.005847953 

.076472 

172 

.005813953 

.076249 

173 

.005780347 

.076029 

174 

.005747126 

.075810 

175 

.005714286 

.075593 

176 

.005681818 

.075378 

177 

.005649718 

.075164 

178 

.005617978 

.074953 

179 

.005586592 

.074744 

180 

.005555556 

.074536 

181 

.005524862 

.074329 

182 

.005494505 

.074125 

183 

.005464481 

.073922 

184 

.005434783 

.073721 

185 

.005405405 

.073521 

186 

.  005376344 

.073324 

41 


Slope 
lin. 

s=  sine  of  slope. 

v*~ 

187 

.005347594 

.073127 

188 

.005319149 

.07293? 

189 

.005291005 

.072739 

190 

.005263158 

.072548 

191 

.005235602 

.072357 

192 

.005208333 

.072169 

193 

.005181347 

.071982 

194 

.005154639 

.071796 

195 

.005128205 

.071612 

196 

.005102041 

.071429 

197 

.005076142 

.071247 

198 

.005050505 

.071067 

199 

.005025126 

.070888 

200 

.005000000 

.070710 

201 

.004975124 

.070534 

202 

.004950495 

.070359 

203 

.004926108 

.070186 

204 

.004901961 

.070014 

205 

.004878049 

.069843 

42 


Slope 
1  in. 

s=sine  of  slope. 

^/s. 

206 

.004854369 

.069673 

207 

.004830918 

.069505 

208 

.004807692 

.069338 

209 

.004784689 

.069172 

210 

.004761905 

.069007 

211 

.004739336 

.068843 

212 

.004716981 

.068680 

213 

.004694836 

.068519 

214 

.004672897 

.068358 

215 

.004651163 

.068199 

216 

.004629630 

.068041 

217 

.004608295 

.067885 

218 

.004587156 

.067729 

219 

.004566210 

.067574 

220 

.004545455 

.067419 

221 

.004524887 

.067267 

222 

.004504505 

.067116 

223 

.004484305 

.066965 

224 

.004464286 

.066815 

43 


Slope 
1  in. 

s=sine  of  slope. 

/y/S. 

225 

.004444444 

.066667 

226 

.004424779 

.066519 

227 

.004405286 

.066372 

.228 

.004385965 

.066227 

229 

.004366812 

.066082 

230 

.004347826 

.065938 

231 

..004329004 

.065795 

232 

.004310345 

.065653 

233 

.004291845 

.065512 

234  , 

.004273504 

.065372 

335 

.004255319 

.065233 

236 

.004237288 

.065094 

237 

.004219409 

.064957 

.238 

.004201681 

.064820 

339 

.004184100 

.064685 

240 

.004166667 

.064549 

241 

.004149378 

.064416 

242 

.004132231 

.064283 

243 

.004115226 

.064150 

44 


Slope 
1  in. 

«=sine  of  slope. 

v* 

244 

.004098361 

.064018 

245 

.004081633 

.063888 

246 

.004065041 

.063758 

247 

.004048583 

.063629 

248 

.004032258 

.063500 

249 

.004016064 

.063372 

250 

.004000000 

.063246 

251 

.003984064 

.063119 

252 

.003968254 

.062994 

253 

.003952569 

.062870 

254 

.003937008 

.062746 

255 

.003921569 

.062622 

256 

.003906250 

.062500 

257 

.003891051 

.062378 

258 

.003875969 

.062257 

259 

.003861004 

.062137 

260 

.003846154 

.062018 

261 

.003831418 

.061899 

262 

.003816794 

.061780 

45 


Slope 
1  in. 

s=sine  of  slope. 

'Y/*- 

263 

.003802281 

.061662 

264 

.003787879 

.061546 

265 

.003773585 

.061430 

266 

.003759398 

.061314 

267 

.003745319 

.061199 

268 

.003731343 

.061085 

269 

.003717472 

.060971 

270 

.003703704 

.060858 

271 

.003690037 

.060746 

272 

.003676471 

.060634 

273 

.003663004 

.060523 

274 

.003649635 

.060412 

275 

.003636364 

.060302 

276 

.003623188 

.060193 

277 

.003610108 

.060084 

278 

.003597122 

.059976 

279 

.003584229 

.059868 

280 

.003571429 

.059761 

281 

.003558719 

.059655 

46 


Slope 
1  in. 

«=sine  of  slope. 

v* 

282 

.003546099 

.059549 

283 

.003533569 

.059444 

284 

.003521127 

.059339 

285 

.003508772 

.059235 

286 

.003496503 

.059131 

287 

.003484321 

.059028 

288 

.003472222 

.058926 

289 

.003460208 

.058824 

290 

.003448276 

.058722 

291 

.003436426 

.058621 

292 

•  .003424658 

.058520 

293 

.003412969 

.058420 

294 

.003401361 

.058321 

295 

.003389831 

.058222 

296 

.003378378 

.058124 

297 

.003367003 

.058026 

298 

.003355705 

.057929 

299 

.003344482 

.057831 

300 

.003333333 

.057735 

Sflope 
1  in. 

s  ^sine  of  slope. 

<v/* 

301 

.003322259 

.057639 

302 

.003311258 

.057544 

303 

.003300330 

.057449 

304 

.003289474 

.057354 

305 

.003278689 

.057260 

306 

.003267974 

.057166 

307 

.003257329 

.057073 

308 

.003246753 

.056980 

309 

.003236246 

.056888 

310 

.003225806 

.056796 

311 

.003215434 

.056705 

312 

.003205128 

.056614 

313 

.003194888 

.056523 

314 

..003184713 

.056433 

315 

.003174603 

.056344 

316 

.003164557 

.056254 

317 

.003154574 

.056165 

318 

.003144654 

.056077  ( 

319 

.003134796 

.055989 

48 


Slope 
liiL 

«r=sine  of  slope. 

<\A 

320 

.003125000 

.055902 

321 

.003115265 

.055815 

322 

.003105590 

.055728 

323 

.003095975 

.055641 

324 

.003086420 

.055556 

325 

.003076923 

.055470 

326 

.003067485 

.055385 

327 

.003058104 

.055300 

328 

.003048780 

.055216 

329 

.003039514 

.055132 

330 

.003030303 

.05504& 

'331 

.003021148 

.054965 

332 

.003012048 

.054882 

333 

.003003003 

.054799 

334 

.002994012 

.054717 

335 

.002985075 

.054636 

336 

.002976190 

.054555 

337 

.002967359 

.054474 

338 

.002958580 

.054393 

Slope 
1  in. 

s=  sine  of  slope. 

/y/8. 

339 

.002949853 

.054312 

340 

.002941176 

.054232 

341 

.002932551 

.054153 

342 

.002923977 

.054074 

343 

.002915452 

.053995 

344 

.002906977 

.053916 

345 

.002898551 

.053838 

346 

.002890171 

.053760 

347 

.002881844 

.053683 

348 

.002873563 

.053606 

349 

.002865330 

.053529 

350 

.002857143 

.053452 

351 

.002849003 

.053376 

352 

.002840909 

.053300 

353 

.002832861 

.053224 

354 

.002824859 

.053149 

355 

.002816901 

.053074 

356 

.002808989 

.052999 

357 

.002801120 

.052925 

50 


Slope 
1  in. 

«=sine  of  slope. 

v*~ 

358 

.002793296 

.052851 

359 

.002785515 

.052778 

360 

.002777778 

.052705 

361 

.002770083 

.052632 

362 

.002762431 

.052559 

363 

.002754821 

.052486 

364 

.002747253 

.052414 

365 

.002739726 

.052342 

366 

.002732240 

.052270 

367 

.002724796 

.052199 

368 

.002717391 

.052129 

369 

.002710027 

.052060 

370 

.002702703 

.051988 

371 

.002695418 

.051917 

372 

.002688172 

.051847 

373 

.002680965 

.051778 

374 

.002673797 

.051709 

375 

.002666667 

.051640 

376 

.002659574 

.051571 

51 


Slope 
1  in. 

s=sine  of  slope. 

<\A 

377 

.002652520 

.051502 

378 

.002645503 

.051434 

379 

.002638522 

.051366 

380 

.002631579 

.051299 

381 

.002624672 

.051231 

382 

.002617801 

.051174 

383 

..002610966 

.051097 

384 

.002604167 

.051031 

385 

.002597403 

.050965 

386 

.002590674 

.050899 

387 

.002583979 

.050833 

388 

.002577320 

.050767 

389 

.002570694 

.050702 

390 

.002564103 

.050637 

391 

.002557545 

.050572 

392 

.002551020 

.050507 

393 

.002544529 

.050443 

394 

.002538071 

.050379 

395 

.002531646 

.050315 

52 


Slope 
1  in. 

8=  sine  of  slope. 

v*. 

396 

.002525253 

.050252 

397 

.002518892 

.050188 

398 

.002512563 

.050125 

399 

.002506266 

.050062 

400 

.002500000 

.050000 

401 

.002493766 

.049938 

402 

.002487562 

.049876 

403 

.002481390 

.049814 

404 

.002475248 

.049752 

405 

.002469136 

.049690 

406 

.002463054 

.049629 

407 

.002457002 

.049568 

408 

.002450980 

.049507 

409 

.002444988 

.049447 

410 

.002439024 

.049387 

411 

.002433090 

.049326 

412 

.002427184 

.049266 

413 

.002421308 

.049207 

414 

.002415459 

.049147 

53 


Slope 
lin. 

sr=sine  of  slope. 

V*- 

415 

.002409639 

.049088 

416 

.002403846 

.049029 

417 

.002398082 

.048970 

418 

.002392344 

.048911 

419 

.002386635 

.048853 

420 

.002380952 

.048795 

421 

.002375297 

.048737 

422 

.002369668 

.048679 

423 

.002364066 

.048621 

424 

.002358491 

.048564 

425 

.002352941 

.048507 

426 

.002347418 

.048450 

427 

.002341920 

.048393 

428 

.002336449 

.048337 

429 

.002331002 

.048280 

430 

.002325581 

.048224 

431 

.002320186 

.048168 

432 

.002314815 

.048113 

433 

.002309469 

.048057 

54 


Slope 
lin. 

$=sine  of  slope. 

'\A. 

434 

.002304147 

.048001 

435 

.002298851 

.047946 

436 

.002293578 

.047891 

437 

.002288330 

.047836 

438 

.002283105 

.047782 

439 

.002277904 

.047728 

440 

.002272727 

.047673 

441 

.002267574 

.047619 

442 

.002262443 

.047565 

443 

.002257336 

.047511 

444 

.002252252 

.047458 

445 

.002247191 

.047404 

446 

.002242152 

.047351 

447 

.002237136 

.047298 

448 

.002232143 

.047245 

449 

.002227194 

.047193 

450 

.002222222 

.047140 

451 

.002217295 

.047088 

452 

.002212389 

.047036 

55 


Slope 
1  in. 

«=  sine  of  slope. 

\A 

453 

.002207506 

.046984 

454 

.002202643 

.046932 

455 

.002197802 

.046880 

456 

.002192982 

.046829 

457 

.002188184 

.046778 

458 

.002183406 

.046726 

459 

.002178649 

.046676 

460 

.002173913 

.046625 

461 

.002169197 

.046575 

462 

.002164502 

.046524 

463 

.002159827 

.046474 

464 

.002155172 

.046424 

465 

.002150538 

.046374 

466 

.002145923 

.046324 

467 

.002141328 

.046274 

468 

.002136752 

.046225 

469 

.002132196 

.046176 

470 

.002127660 

.046126 

471 

.002123142 

.046077 

56 

Slope 
lin. 

«r=sine  of  slope. 

v*. 

472 

.002118644 

.046029 

473 

.002114165 

.045980 

474 

.002109705 

.045932 

475 

.002105263 

.045883 

476 

.002100840 

.045835 

477 

.002096436 

.045787 

478 

.002092050 

.045739 

479 

.002087683 

.045691 

480 

.002083333 

.045644 

481 

.002079002 

.045596 

482 

.002074689 

.045549 

483 

.002070393 

.045502 

484 

.002066116 

.045454 

485 

.002061856 

.045407 

486 

.002057613 

.045361 

487 

.002053388 

.045314 

488 

.002049180 

.045268 

489 

.002044990 

.045222 

490 

.002040816 

.045175 

Slope 
lin. 

«=sine  of  slope. 

-\A 

491 

.002036660 

.045129 

492 

.002032520 

.045083 

493 

.002028398 

.045037 

494 

.002024291 

.044992 

495 

.002020202 

.044947 

496 

.002016128 

.044901 

497 

.002012072 

.044856 

498 

.002008032 

.044811 

499 

.002004008 

.044766 

500 

.002000000 

.044721 

501 

.001996008 

.044677 

502 

.001992032 

.044632 

503 

.001988072 

.044588 

504 

.001984127 

.044544 

505 

.001980198 

.044499 

506 

.001976285 

.044455 

507 

.001972387 

.044412 

508 

.001968504 

.044368 

509 

.001964637 

.044324 

58 


Slope 
1  in. 

s=  sine  of  slope. 

v*. 

510 

.001960784 

.044281 

511 

.001956947 

.044237 

512 

.001953125 

.044194 

513 

.001949318 

.044151 

514 

.001945525 

.044108 

515 

.001941748 

.044065 

516 

.001937984 

.044022 

517 

.001934236 

.043979 

518 

.001930502 

.043937 

519 

.001926782 

.043895 

520 

.001923077 

.043853 

521 

.001919386 

,  043811 

522 

.001915709 

.043769 

523 

.001912046 

.043727 

524 

.001908397 

.043685 

525 

.001904762 

.043644 

526 

.001901141 

.043602 

527 

.001897533 

.043561 

528 

.001893939 

.043519 

59 

Slope 
lin. 

s  rrrsine  of  slope. 

V^ 

529 

.001890359 

.043478 

530 

.001886792 

.043437 

'  531 

.001883239 

.043396 

532 

.001879699 

.043355 

533 

.001876173 

.043315 

534 

.001872659 

.043274 

535 

.001869159 

.043234 

536 

.001865672 

.043193 

537 

.001862197 

.043153 

538 

.001858736 

.043113 

539 

.001855288 

.043073 

540 

.001851852 

.043033 

541 

.001848429 

.042993 

542 

.001845018 

.042953 

543 

.001841621 

.042914 

544 

.001838235 

.042874 

545 

.001834862 

.042835 

546 

o  001831502 

.042796 

547 

.001828154 

.042757 

60 


Slope 
lin. 

«=sine  of  slope. 

Vs- 

548 

.001824817 

.042718 

549 

.001821494 

.042679 

550 

.001818182 

.042640 

551 

.001814882 

.042601 

552 

.001811594 

.042563 

553 

.001808318 

.042524 

554 

.001805054 

.042486 

555 

.001801802 

.042448 

556 

.001798561 

•  .042410 

557 

.001795332 

.042371 

558 

.001792115 

.042333 

559 

.001788909 

.042295 

560 

.001785714 

.042258 

561 

.001782531 

.042220 

562 

.001779359 

.042183 

563 

.001776199 

.042145 

564 

.001773050 

.042108 

565 

.001769912 

.042070 

566 

.001766784 

.042033 

61 


Slope 
1  in. 

s=sine  of  slope. 

y*. 

567 

.001763668 

.041996 

568 

.001760563 

.041959 

569 

.001757469 

.041922 

570 

.001754386 

.041885 

571 

.001751313 

.041848 

572 

.001748252 

.041812 

573 

.001745201 

.041776 

574 

.001742160 

.041739 

575 

.001739130 

.041702 

576 

.001736111 

.0*1667 

577 

.001733102 

.041630 

578 

.001730104 

.041594 

579 

.001727116 

.041559 

580 

.001724138 

.041522 

581 

.001721170 

.041487 

582 

.001718213 

.041451 

583 

:001715266 

.041416 

584 

.001712329 

.041380 

585 

.001709420 

.041345 

62 


Slope 
lin. 

s=  sine  of  slope. 

vt 

586 

.001706485 

.041309 

587 

.001703578 

.041274 

588 

.001700680 

.041239 

589 

.001697793 

.041204 

590 

.001694915 

.041169 

591 

.001692047 

.041135 

592 

.001689189 

.041100 

593 

.001686341 

.041065 

594 

.001683502 

.041031 

595 

.001680672 

.040996 

596 

.001677852 

.040961 

597 

.001675042 

.040927 

598 

.001672241 

.040893 

599 

.001669449 

.040859 

600 

.001666667 

.040825 

601 

.001663894 

.040791 

602 

.001661130 

.040757 

603 

.001658375 

.040723 

604 

.001655629 

.040689 

63 


Slope 
lin. 

£=sine  of  slope. 

v*. 

605 

.001652893 

.040656 

606 

.001650165 

.040622 

607 

.001647446 

.040589 

608 

.001644737 

.040555 

609 

.001642036 

.040522 

610 

.001639344 

.040489 

611 

.001636661 

.040456 

612 

.001633987 

.040422 

613 

.001631321 

.040389 

614 

.001628664 

.040357 

615 

.001626016 

.040324 

616 

.001623377 

.040291 

617 

.001620746 

.040258 

618 

.001618123 

.040226 

619 

.001615509 

.040193 

620 

.001612903 

.040161 

621 

.001610306 

.040128 

622 

.001607717 

.040096 

623 

.001605136 

.040664 

64 


Slope 
iin. 

s=  sine  of  slope. 

/y/*. 

624 

.001602564 

.040032 

625 

.001600000 

.040000 

626 

.001597444 

.039968 

627 

.001594896 

.039936 

628 

.001592357 

.039904 

629 

.001589825 

.039873 

630 

.001587302 

.039841 

631 

.001584786 

.039809 

632 

.001582278 

.039778 

633 

.001579779 

.039746 

634 

.001577287 

.039715 

635 

.001574803 

.039684 

636 

.001572327 

.039653 

637 

.001569859 

.039621 

638 

.001567398 

.039590 

639 

.001564945 

.039559 

640 

.001562500 

.039528 

641 

.001560062 

.039498 

642 

.001557632 

.039467 

65 


Slope 
1  in. 

s=sine  of  slope. 

v«- 

643 

.001555210 

.039436 

644 

.001552795 

.039405 

645 

.001550388 

.039375 

646 

.001547988 

.039344 

647 

.001545595 

.039314 

648 

.001543210 

.039284 

649 

.001540832 

.039253 

650 

.001538462 

.039223 

651 

.001536098 

.039193 

652 

.001533742 

.039163 

653 

.001531394 

.039133 

654 

.001529052 

.039103 

655 

.001526718 

.039073 

656 

.001524390 

.039043 

657 

.001522070 

.039013 

658 

.001519757 

.038984 

659 

.001517451 

.038954 

660 

.001515152 

.038925 

661 

.001512859 

.038895 

66 


Slope 
lin. 

s=sine  of  slope. 

/Y/s. 

662 

.001510574 

.038866 

663 

.001508296 

.038837 

664 

.001506024 

.038808 

665 

.001503759 

.038778 

1  666 

.001501502 

.038749 

667 

.001499250 

.038720 

668 

.001497006 

.038691 

669 

.001494768 

.038662 

670 

.001492537 

.038633 

671 

.001490313 

.038604 

672 

.001488095 

.038576 

673 

.001485884 

.038547 

674 

.001483680 

.038518 

675 

.001481481 

.038490 

676 

.001479290 

.038461 

677 

.001477105 

.038433 

678 

.001474926 

.038405 

679 

.001472754 

.038376 

680 

.001470588 

.038348 

67 


Slope 
1  in. 

*=sine  of  slope. 

1/8. 

681 

.001468429 

.038320 

682 

.001466276 

.038292 

683 

.001464129 

.038264 

684 

.001461988 

.038236 

685 

.001459854 

.038208 

686 

.001457726 

.038180 

687 

.001455604 

.038152 

688 

.001453488 

.038125 

689 

.001451379 

.038097 

690 

.001449275 

.038069 

691 

.001447178 

.038042 

692 

.001445087 

.038014 

693- 

.001443001 

.037987 

694 

.001440922 

.037959 

695 

.001438849 

.037932 

696 

.001436782 

.037905 

697 

.001434720 

.037878 

698 

.001432665 

.037851 

699 

.001430615 

.037824 

68 


Slope 
lin. 

s^sine  of  slope. 

^ 

700 

.001428571 

.037796 

701 

.001426534 

.037769 

702 

.001424501 

.037743 

703 

.001422475 

.037716 

704 

.001420455 

.037689 

705 

.001418440 

.037662 

706 

.001416431 

.037636 

707 

.001414427 

.037609 

708 

.001412429 

.037582 

709 

.001410437 

.037556 

710 

.001408451 

.037529 

711 

.001406470 

.037503 

712 

.001404494 

.037477 

713 

.001402525 

.037450 

714 

.001400560 

.037424 

715 

.001398601 

.037398 

716 

.001396648 

.037372 

717 

.001394700 

.037346 

718 

.001392758 

.037320 

69 


Slope 
1  in. 

*=sine  of  slope. 

V"Z 

719 

.001390821 

.037294 

720 

.001388889 

.037268 

721 

.001386963 

.037242 

722 

.001385042 

.037216 

723 

.001383126 

.037190 

724 

.001381215 

.037164 

725 

.001379310 

.037139 

726 

.001377410 

.037113 

727 

.001375516 

.037088 

728 

.001373626 

.037063 

729 

.001371742 

.037037 

730 

.001369863 

.037012 

731 

.001367989 

.036986 

732 

.001366120 

.036961 

733 

.001364256 

.036936 

734 

.001362398 

.036911 

735 

.001360544 

.036885 

736 

.001358696 

.036860 

737 

.001356852 

.036835 

70 


Slope 
lin. 

s=  sine  of  slope. 

<\A 

738 

.001355014 

.036810 

739 

.001353180 

.036786 

740 

.001351351 

.036761 

741 

.001349528 

.036736 

742 

.001347709 

.036711 

743 

.001345895 

.036686 

744 

.001344086 

.036662 

745 

.001342282 

.036637 

746 

.001340483 

.036613 

747 

.001338688 

.036588 

748 

.001336898 

.036563 

749 

.001335113 

.036539 

750 

.001333333 

.036515 

751 

.001331558 

.036490 

752 

.001329787 

.036466 

753 

.001328021 

.036442 

754 

.001326260 

.036418 

.755 

.001324503 

.036394 

756 

.001322751 

.036370 

71 

Slope 
1  in. 

«—  sine  of  slope. 

y*. 

757 

.001321004 

.036346 

758 

.001319261 

.036322 

759 

.001317523 

.036298 

760 

.001315789 

.036274 

761 

.001314060 

.036250 

76.2 

.001312336 

.036226 

763 

.001310616 

.036202 

764 

.001308901 

.036179 

765 

.001307190 

.036155 

766 

.001305483 

.036131 

767 

.001303781 

.036108 

768 

.001302083 

.036084 

769 

.001300390 

.036061 

770 

.001298701 

.036038 

771 

.001297017 

.036014 

772 

.001295337 

.035991 

773 

.001293661 

.035967 

774 

.001291990 

.035944 

775 

.001290323 

.035921 

72 


Slope 
1  in. 

$=sine  of  slope. 

-\A 

776 

.001288660 

.035898 

777 

.001287001 

.035875 

778 

.001285347 

.035852 

779 

.001283697 

.035829 

780 

.001282051 

.035806 

781 

.001280410 

.035783 

782 

.001278772 

.035760 

783 

.001277139 

.035737 

784 

.001275510 

.035714 

785 

.001273885 

.035691 

786 

.001272265 

.035669* 

787 

.001270648 

.035646- 

788 

.001269036 

.035623 

789 

.001267427 

.035601 

790 

.001265823 

.035578 

791 

.001264223 

.035556 

792 

,   .001262626 

.035533 

793 

.001261034 

.035511 

794 

.001259446 

.035489 

Slope 
1  in. 

«=sine  of  slope. 

v* 

795 

.001257862 

.035466 

796 

.001256281 

.035444 

797 

.001254705 

.035422 

788 

.001253133 

.035399 

799 

.001251564 

.035377 

800 

.001250000 

.035355 

801 

.001248439 

.035333 

802 

.001246883 

.035311 

803 

.001245330 

.035289 

804 

.001243781 

.035267 

905 

.001242236 

.035245 

806 

.001240695 

.035223 

807 

.001239157 

.035201 

808 

.001237624 

.035179 

809 

.001236094 

.035158 

810 

.001234568 

.035136 

811 

.001233046 

.035115 

812 

.001231527 

.035093 

813 

.001230012 

.035071 

Slope 
lin. 

s^sine  of  slope. 

/Y/sI 

814 

.001228501 

.035050 

815 

.001226994 

.035028 

816 

.001225490 

.035007 

817 

.001223990 

.034985 

818 

.001222494 

.034964 

819 

.001221001 

.034943 

820 

.001219512 

.034922 

821 

.001218027 

.034900 

822 

.001216545 

.034879 

823 

.001215067 

.034858 

824 

.001213592 

.034837 

825 

.001212121 

.034816 

826 

.001210654 

.034794 

827 

.001209190 

.034773 

828 

.001207729 

.034752 

829 

.001206273 

.034731 

830 

.001204819 

.034710 

831 

.001203369 

.034689 

832 

.001201923 

.034669 

75 

Slope 
lin. 

«=sine  of  slope. 

Vv 

833 

.001200480 

.034648 

834 

.001199041 

.034627 

835 

.001197605 

.034606 

836 

.001196172 

.034586 

837 

.001194743 

.034565 

838 

.001193317 

.034544 

839 

.001191895 

.034524 

840 

.001190476 

.034503 

841 

.001189061 

.034483 

842 

.001187648 

.034462 

843 

.001186240 

.034442 

844 

.001184834 

.034421 

845 

.001183432 

.034401 

846 

.001182033 

.034381 

847 

.001180638 

.034360 

848 

.001179245 

.034340 

849 

.001177856 

.034320 

850 

.001176471 

.034300 

851 

.001175088 

.034279 

Slope 
1  in. 

s=  sine  of  slope. 

<\A~ 

852 

.001173709 

.034259 

853 

.001172333 

.034239 

854 

.001170960 

.034219 

855 

.001169591 

.034199 

856 

.001168224 

.034179 

857 

.001166861 

.034159 

858 

.001165501 

.034139 

859 

.001164144 

.034119 

860 

.001162791 

.034099 

861 

.001161440 

.034080 

862 

.001160093 

.034060 

863 

.001158749 

.034040 

864 

.001157407 

.034021 

865 

.001156069 

.034001 

866 

.001154734 

.033981 

867 

.001153403 

.033962 

868 

.001152074 

.033942 

869 

.001150748 

.033923 

870 

.001149425 

.033903 

77 

Slope 
lin. 

s^sine  of  slope. 

\A 

871 

o  001148106 

.033883 

872 

.001146789 

.033864 

873 

.001145475 

.033845 

874 

.001144165 

.033825 

875 

.001142857 

.033806 

876 

.001141553 

'  .033787 

877 

.001140251 

.033768 

878 

.001138952 

.033748 

879 

.001137656 

.033729 

880 

.001136364 

.033710 

881 

.001135074 

.033691 

882 

.001133787 

.033672 

883 

.001132503 

.033653 

884 

.001131222 

.033633 

885 

.001129944 

.033614 

886 

.001128668 

.033595 

887 

.001127396 

.033577 

888 

.001126126 

.033558 

889 

.001124859 

.033539 

Slope 
lin. 

8=  sine  of  slope. 

<\A 

890 

.001123596 

.033520 

891 

.001122334 

.033501 

892 

.001121076 

.033483 

893 

.001119821 

.033464 

894 

.001118568 

.  .033445 

895 

.001117318 

.033426 

896 

.001116071 

.  .033408 

897 

.001114827 

.033389 

898 

.001113586 

.  .033370 

899 

.001112347 

.  .033352 

900 

.001111111 

.  .033333 

901 

.001109878 

.  .033315 

902 

.001108647 

-  .033296 

903 

.001107420 

.  .033278 

904 

.001106195 

.  .033259 

905 

.001104972 

.  .  .033241 

906 

.001103753 

.  .033223 

907 

•  .001102536 

.033204 

908 

.001101322 

.033186 

Slope 
1  in. 

s=  sine  of  slope. 

yz 

.909 

.001100110 

.033168 

.910 

.001098901 

.033149 

911 

.001097695 

.033131 

.912 

.001096491 

.033113 

913 

.001095290 

.033095 

.914 

.001094092 

.033077 

915 

.001092896 

.033059 

916 

.001091703 

.033041 

917 

.001090513 

.033023 

918 

.001089325 

.033005 

919 

.001088139 

.032987 

920 

.001086957 

.032969 

921 

.001085776 

.032951 

•922 

.001084599 

.032933 

923 

.001083423 

.032915 

924 

.001082251 

.032897. 

925 

.001081081 

.032879 

926 

.001079914 

.032862 

92? 

.001078749 

.032844 

80 


Slope 
lin. 

s=sine  of  slope. 

Vs- 

928 

.001077586 

.032826 

929 

.001076426 

.032809 

930 

.001075269 

.032791 

931 

.001074114 

.032774 

932 

.001072961 

.032756 

933 

.001071811 

.032738 

934 

.001070664 

.032721 

935 

.001069519 

.032703- 

936 

.001068376 

.032686: 

937 

.001067236 

.032669 

938 

.001066098 

.032651 

939 

.001064963 

.032634 

940 

.001063830 

.032616 

941 

.001062699 

.032599 

942 

.001061571 

.032582 

943 

.001060445 

.032565 

944 

.001059322 

.032547 

945 

.001058201 

.032530 

946 

.001057082 

.032513 

81 


Slope 
1  in. 

«=sine  of  slope. 

\/8. 

947 

.001055966 

.032496 

.948 

.001054852 

.032479 

949 

.001053741 

.032461 

'950 

.001052632 

.032444 

951 

,001051525 

.032427 

952 

.001050420 

.032410 

953 

.001049318 

.032393 

954 

.001048218 

.032376 

955 

.001047120 

.032359 

956 

.001046025 

.032342 

957 

.001044932 

.032325 

958 

.001043841 

.032309 

959 

.001042753 

.032292 

960 

.001041667 

.032275 

961 

.001040583 

.032258 

962 

.001039501 

.032241 

963 

.001038422 

.032224 

964 

.001037344 

.032208 

965 

.001036269 

.032191 

82 


Slope 
i  in. 

s=  sine  of  slope. 

-vA 

966 

.001035197 

.032174 

967 

.001034126 

.032158 

.968 

.001033058 

.032141 

969 

.001031992 

.032125 

970 

.001030928 

.032108 

971 

.001029866 

.032091 

972 

.001028807 

.032075 

973 

.001027749 

.032059 

974 

.001026694 

.032042 

975 

.001025641 

.032026 

976 

.001024590 

.032009 

977 

.001023541 

.031993 

978 

.001022495 

.031977 

979 

.001021450 

.031960 

980 

.001020408 

.031944 

981 

.001019368 

.:03192& 

982 

.001018330 

.031911 

983 

.001017294 

.031895 

984 

.001016260 

.031879 

83 


s=:sine  of  slope. 

V5- 

985 

.001015228 

.031863 

986 

.001014199 

.031847 

987 

.001013171 

.031830 

988 

.001012146 

.031814 

989 

.001011122 

.031798 

990 

.001010101 

.031782 

991 

.001009082 

,031766 

992 

.001008065  . 

.031750 

993 

.001007049 

.031734 

994 

.001006036 

.031718 

995 

.001005025 

.031702 

996 

.001004016 

.031686 

997 

.001003009 

.031670 

998 

.001002004 

.031654 

999 

.001001001 

.031639 

1000 

.001000000 

.031623 

1010 

.000990099 

.031466 

1020 

.000080392 

.031311 

1030 

.000970873 

.031159 

84 


Slope 
lin. 

$=sine  of  slope. 

<\A 

1040 

.000961538 

.031009 

1050 

.000952381 

.030861 

1060 

.000943396 

.030715 

1070 

.000934579 

.030571 

1080 

.000925926 

.030429 

1090 

.000917431 

.030289' 

1100 

.000909090 

.030151 

1110 

.000900900 

.030015 

1120 

.000892857 

.029881 

1130 

.000884956 

.029748 

1140 

.000877193 

.029617 

1150 

.000869566 

.029488 

1160 

.000862069 

.029361 

1170 

.000854701 

.029235 

1180 

.000847458 

.029111 

1190 

.000840336 

.028988 

1200 

.000833333 

.028868 

1220 

.000819672 

.028630 

1240 

.000806452 

.028398 

85 


Slope 
1  in. 

«:=sine  of  slope. 

V? 

1260 

.000793651 

.028172 

1280 

.000781250 

.027951 

1300 

.000769231 

.027735 

1320 

.000757576 

.027524 

1340 

.000746268 

.027318 

1360 

.000735294 

.027116 

1380 

.000724638 

.026919 

1400 

.000714286 

.026726 

1420 

.000704225 

.026537 

1440 

.000694444 

.026352 

1460 

.000684932 

.026171 

1480 

.000675675 

.025994  . 

1500 

.000666666 

o  025820 

1520 

.000657895 

.025649 

1540 

.000649351 

.025482 

1560 

.000641025 

.025318 

1580 

.000632911 

.025158 

1600 

.000625000 

.025000 

1620  1   .000617284 

.024845 

86 


Slope 
lin. 

$=:sine  of  slope. 

'vA 

1640 

.000609756 

.024693 

1660 

.000602409 

.024744 

1680 

.000595238 

.024398 

1700 

.000588235 

.024254 

1720 

.000581395 

.024112 

1740 

.000574712 

.023973 

1760 

.000568182 

.023836 

1780 

.000561798 

.023702 

1800 

.000555555 

.023570 

1820 

.000549450 

.023440 

1840 

.000543478 

.023313 

.1860 

.000537634 

.023187 

1880 

.000531915 

.023063 

1900 

.000526316 

.022942 

1920 

.000520833 

.022822 

1940 

.000515464 

,022704 

1960 

.000510204 

j;  .0^2588 

1980 

.000505050 

.  .022473 

2000 

.  000500000  . 

;.  .022361 

Slope 
lin. 

s=sine  of  slope. 

\/8. 

2040 

.000490196 

.022140 

2080 

.000480769  ; 

.021927 

2120 

.000471698 

.021719 

2160 

.000462963 

.021517 

2200 

.000454545 

.021320 

2240 

.000446429 

.021129 

2280 

.000438597 

.020943 

2320 

.000431034 

.020761 

2360 

.000423729 

.020585 

2400 

.000416666 

.020412 

2440 

.000409836 

.020244 

2480 

.000403226 

.020080 

2520 

.000396825 

.019920 

2560 

.000390625 

.019764 

2600 

.000384615 

.019612 

2640 

.000378787 

.019463 

EGG-SHAPED  SEWERS. 

INTERNAL  DIMENSIONS, 


91 


Hydraulic  Tables  Based  on 
Kutter's  Formula. 


EGG-SHAPED  SEWERS. — INTERNAL   DIMEN- 
SIONS. 

Depth  of  verticle  diameter  is  1.5  times 
the  greatest  transverse  diameter;  that  is, 
the  diameter  of  top  of  arch. 

Let   D=greatest    transverse    diameter, 
that  is  the  diameter   of  top  or 

u     2H  ^ 
archr=-— ,  then 

3 

H— depth   of  -sewer  or  vertical  di- 
ameter =1.5D. 

TT 

B=radius  of  bottom  or  invert  =  - 

6* 

R= radius  of  sides =H. 
By  reference  to  column  c<\/r"m  Tables 
3  and  4  it  will  be  seen  that  the  mean  ve- 
locity of  an  egg-shaped  sewer  flowing  two- 
thirds  full  is  always  greater  than  that  of 
the  mean  velocity  of  same  sewer  flowing 


92 

full.      When    the  slopes   are   equal,    col- 
umns c/^/Fand  ac<\/r~  give  a  ready  means- 
for  comparing  velocities  and  discharges. 
APPLICATION  AND  USE  OF  THE  TABLES. 

To  find  the  velocity  and  discharge  in 
an  egg-shaped  sewer. 

Example  10. — An  egg-shaped  sewer  7 
feet  by  10  feet  6  inches  has  a  slope  of  6 
feet  per  mile.  What  is  its  velocity  and 
discharge  flowing  full,  flowing  two-thirds 
full  depth  and  one- third  full  depth? 

A  slope  of  6  feet  per  mile  is  equal  to  1 
in  880,  opposite  to  which  in  Table  2  the 
value  of  yVis  found  to  be=. 03371. 

In  Tables  3,  4  and  5  opposite  a  trans- 
verse diameter  of  7  feet  find  the  values 
of  c^/'r"  and  ac^/7  and  substitute  them 
and  also  the  value  of  ^/s"  above  found  in 
formula  (1)  v=c^/r'X  <\/7. 

"        (5)  Q=ac<\/r~  X  v^/s'  and  we   get 
the  following : 

{v=160.2X  .03371  =  5.4  feet 
Qr9r^7Xd.0337l  =  303.9 
cubic  feet  per  second. 


93 

f  v=I69.6x. 03371  =  5.72  feet 
Two-thirds  I       per  second. 

depth.        ]    Q=6283.5  X. 03371  =  211.8 
I      cubic  feet  per  second. 

(  v=127.9X.0337l=4.31  feet 
One-third    J       per  second. 

depth.        j    Q=1779.4  X  .03371  =  59.98 
[      cubic  feet  per  second. 

To  find  the  dimensions  of  an  egg- 
shaped  sewer  to  replace  a  circular  sewer. 

Example  11. — A  circular  sewer  5  feet 
diameter  and  4800  feet  long  has  a  fall  of 
16  feet.  It  is  to  be  removed  and  replaced 
by  an  egg-shaped  sewer  with  a  fall  of  8 
feet  whose  discharge  flowing  full  shall 
«qual  that  of  the  circular  sewer  flowing 
full?  Give  dimensions  of  egg-shaped 
sewer. 

A  fall  of  16  in  4800=1  in  300  and  in 
Table  2  the  yT  corresponding  to  this  ^ 
.057735.  In  Table  1  opposite  6  feet  di- 
ameter the  value  ac^/T  is  2272.7,  substi- 
tute this  value  and  also  the  value  of  yT 
in  formula  (5)  Ql=ac^/r  X  yTand  we  have 
Q=2272.7  X. 057735  =  131.21  cubic  feet  per 


94 

second,  the  discharge  of  the  circular 
sewer.  The  egg-shaped  sewer  is  to  have 
a  fall  of  8  in  4800=1  in  600,  and  in  Table 
2  the  equivalent  ^/s~  is  .040825,  substitute 
this  value  and  also  the  discharge  found 
above  in 

formula  (7)  «Vf==U 


In  Table  3,  the  nearest  value  of  ac^/r 
to  this  is  3353  opposite  a  transverse  diam- 
eter 4  feet  10  inches,  therefore  the  egg- 
shaped  sewer  is  to  be  4  feet  10  inches  by 
7  feet  3  inches. 

To  find  the  diameter  of  a  circular  sewer 
whose  discharge  flowing  full  shall  equal 
that  of  an  egg-shaped  sewer  flowing  one- 
third  full  depth. 

Example  12.  —  Find  the  diameter  of  a 
Circular  sewer  whose  discharge  flowing  full 
shall  equal  that  of  the  egg-shaped  sewer 
in  last  example  flowing  one-third  full  the 
slope  being  the  same  in  each. 

In  Table  5  and  opposite  transverse  di- 
ameter 4  feet  10  inches  the  value  of  ac<\/r 
=  657.53. 


95 

In  Table  1  the  value  of  ac^/r~  nearest 
to  this  is  found  to  be  661.7^  opposite  a 
diameter  of  3  feet  2  inches,  which  is  the 
diameter  of  the  circular  sewer  required. 

To  find  the  diameter  of  a  circular  sewer 
whose  velocity  flowing  full  shall  equal  that 
of  an  egg-shaped  sewer  flowing  one-third 
full  depth. 

Example  1.3. — What  is  the  diameter  of 
a  circular  sewer  whose  mean  velocity 
flowing  full  shall  equal  that  of  an  egg- 
shaped  sewer  4  feet  by  6  feet  flowing  one- 
third  full,  the  grade  in  each  being  the  same  ? 

In  Table  5  and  opposite  the  transverse 
diameter  4  feet  the  value  of  c^/r'  =86.61. 

In  Table  1  the  value  of  c^/'r  nearest  to 
this  is  87.15,  opposite  diameter  3  fe^t  4 
inches,  which  is  the  diameter  of  the  circn 
lar  sewer  required. 

To  find  .the  dimensions  and  slope  of  an 
egg-shaped  sewer  flowing  fully  the  mean 
velocity  and  discharge  being  given. 

Example  • 14.— An  egg-shaped,  sewer, 
flowing  full  is  to  have  a  mean  velocity  not 
greater  than  5  feet  per  second,  and  is  to. 


96 

discharge  108  cubic  feet  per  second.  What* 
is  size  and  slope  ? 

By  formula  (6)  «=:—  substitute  values 

1  OR 

of  Q  and  v  given  and  a=  —=21.6  square 

5 

feet. 

In  column  2  of  Table  3  the  nearest  area 
to  this  is  21.556  opposite  the  transverse 
diameter  4  feet  4  inches,  therefore  the 
sewer  required  is  4  feet  4  inches  by  6  feet 
6  inches.  At  the  same  time  the  value  of 
ac^/r~  opposite  4  feet  4  inches  diameter  is 
found  equal  to  2501.4,  substitute  this  and 
also  value  of 

formula  (8)^=-^  =  ^—  = 
ac<\/r     2501.4 

.043176,  and  in  Table  2  the  nearest  value 
of  4/s~  to  this  is  .043193  opposite  the  slope 
of  1  in  536,  which  is  slope  of  sewer, 

The  diameter  and  slope  of  a  circular 
sewer  being  given,  to  find  dimensions  and 
slope  of  an  egg-shaped  sewer  whose  dis- 
charge flowing  two-thirds  depth  shall  equal 
that  of  the  circular  sewer  flowing  full  anct 


97 

whose  velocity  at  same  depth  shall  not  ex- 
ceed a  certain  rate. 

Example  15. — A  circular  sewer  6  feet  in 
diameter  and  with  a  slope  of  1  in  600  is  to 
be  removed  and  to  be  replaced  by  an  egg 
shaped  sewer  whose  discharge  flowing  at 
two-thirds  of  its  full  depth  shall  be  equal 
to  that  of  the  circular  sewer  flowing  full 
and  whose  mean  velocity  at  the  same  two- 
thirds  depth  shall  not  exceed  5  feet  per 
second  ?  Give  dimensions  and  slope  of 
egg-shaped  sewer. 

In  Table  1  and  opposite  6  feet  diameter 
the  value  of  ac^/r~  is  3702.3,  and  in  Table 
2  opposite  1  in  600  the  value  of  *JT  i& 
.040825,  substitute  these  values  in  formula 
(5)  Q  =  ac^/r  X  \/~s  and  we  get 

Q  =  3702.3  X  .040825  =  151.15  cubic 
feet  per  second,  the  discharge  of  the  cir- 
cular sewer.  Now  substitute  this  dis- 
charge and  the  velocity  above  given  5 

feet  per  second  in  formula  (6)  a= — and 

we  •  get  a^=  — 'z — 30.23    square   feet,   the 
o 


area  at  two-thirds  depth  of  the  egg-shaped 
sewer.  In  column  2  of  Table  4  the  nearest 
area  to  this  is  30.317  opposite  a  transverse 
diameter  of  6  feet  4  inches,  therefore  the 
dimensions  of  egg-shaped  sewer  are  6  feet 
4  inches  by  9  feet  6  inches. 

At  the  same  time  take  out  the  value  of 
a  c  ^/r~  opposite  6  feet  4  inches,  which  is 
4811.9.  Substitute  this  and  also  the  value 
of  Q  found  in  formula  (8) 

O 
A/S  =  —  ^==.031412 

ocyf 

and  this  not  being  found  in  Table  1,  square 
each  side  and 

$=.0009867, 
=  1013      nearly>    therefore 


.0009867 

the  slope  of  egg-shaped  sewer  is  1  in  1013 
and  its  size  6  feet  4  inches  by  9  feet  6 
inches. 

To  find  the  dimensions  and  grade  of  an 
egg-shaped  sewer  to  have  a  certain  dis- 
charge flowing  full^  and  whose  mean 
velocity  shall  not  exceed  a  certain  rate 
when  flovi  ing  two  -thirds  full  depth. 


99 

Example  16. — An  egg-shaped  sewer  is 
to  discharge  110  cubic  feet  per  second 
iiowing  full  and  its  mean  velocity  flowing 
two-thirds  full  depth  is  not  to  exceed  5 
feet  per  second?  Find  its  dimensions  and 
slope. 

As  a  first  approximation  assume  the 
velocity  flowing  full  at  5  feet  per  second, 

then  — =  22  square  feet  the  area  of  egg- 
shaped  sewer  flowing  full,  and  in  Table  3 
opposite  this  area  the  transverse  diameter 

4  feet  4  inches  is  found.     Now  with  this 
diameter 

the  value  of  6  yf"  full  depth  =116.0 

the  value  of  c^/7  two-thirds  depth= 123.1 
therefore  we  may  assume  that  the  velocity 
of  sewer  flowing  full  is  for  4  feet  4  inches, 
transverse  diameter  about  6  per  cent,  less 
than  when  flowing  two-thirds  full,  that  is, 
assuming  the  velocity  at  two-thirds  depth 

5  feet  per  second,  the  velocity  at  full  depth 
will  be  about  4.7  feet  per  second.     Sub- 
stituting this  velocity  and  also  discharge 

in  formula  (6)  a—— —  -—  =  23.4  the  area 


100 

of  egg-shaped  sewer  flowing  full.  In 
Table  3  the  transverse  diameter  opposite 
this  is  4  feet  6  inches,  which  is  the  diam- 
eter required  of  the  egg-shaped  sewer. 
At  the  same  time  that  diameter  is  found 
look  out  the  value  of  ac^/T  which  is  2770, 

substitute  this  in 

I 

formula  (8)  .  V*~— 7= 


=  2™.  039711. 


In  Table  2  the  */s  nearest  to  this  is 
..039715  opposite  a  slope  of  1  in  634,  there- 
fore the  dimensions  of  egg-shaped  sewer 
are  4  feet  6  inches  by  6  feet  9  inches  and 
its  slope  1  in  634. 

Now  in  Table  4  the  value  of  c<\/r  oppo- 
site transverse  diameter  of  4  feet  6  inches 
is  126.3,  substitute  this  and  also  value  of 
/y/s~  above  found  in 

formula  (1)  v=.c^/r  X  ^H  and  we  have 
v=126.3  X.039711  =  5    feet   per  second, 
the   mean  velocity  of  sewer  flowing  two- 
thirds  full. 


101 


TABLE   3. — GIVING  VALUES   OF  a  AND  r 

AND     ALSO     THE     FACTORS     C^fr     AND 

ac^r~  FOR  CORRESPONDING  TRANS- 
VERSE DIAMETERS  OF  EGG-SHAPED 
SEWERS,  FLOWING  full  depth,  GIVEN 
IN  FIRST  COLUMN. 

These  factors  are  to  be  used  only  where  the 
value  of  n,  that  is  the  coefficient  of  roughness  of 
lining  of  channel =.01 5,  as  in  second  class  or 
rough-faced  brickwork,  well-dressed  stone  work, 
foul  and  slightly  tuberculated  iron,  cement  and 
terra  cotta  pipes  with  imperfect  joints  and  in  bad 
order. 

Area  of  egg-shaped  sewer  flowing  full  depth  = 
D2  X  1.148525. 

Perimeter  of  egg-shaped  sewer  flowing  full  depth 
=  D  X  3.9649. 

Hydraulic  mean  depth  of  egg-shaped  sewer  flow- 
ing full  depth  =  D  X  0.2897. 

v=c  \/r  X  A/*-     Q,=av= 


102 


D= 

trans- 
verse 
diam. 
it.     in. 

a  =  area  in 
square  ft. 

r—  hy- 
draulic 
mean 
depth 
in  feet. 

For 

velocity. 

c^/r 

For 
discharge 

ac^/r 

1      0 

1.148 

.2897 

39.62 

45.528 

1     2 

1.563 

.3380 

44.66 

69.804 

1     4 

2.041 

.3864 

49.57 

101.17 

1     6 

2.584 

.4345 

54.08 

139.74 

1     8 

3.190 

.4828 

58.64 

187.06 

1  10 

3.860 

.5311 

62.83 

242.52 

2     0 

4.594 

.5794 

66.93 

307.48 

2     2 

5.391 

.6277 

71.01 

382.81 

2     4 

6.253 

.6760 

74.93 

468.54 

2     6 

7.178 

.  7242 

78.76 

565.34 

2     8 

8.167 

.7725 

82.44 

673.29 

2  10 

9.220 

.8208 

86.21 

794.86 

.3     0 

10.337 

.8691 

89.70 

927.23 

103 


T>= 

trans- 
verse 
diam. 
ft.     in. 

«=area  in 
square  ft. 

r=hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c\/r 

For 
discharge 

ac\/r 

3      2 

11.517 

.9174 

93.25 

1074.0 

3     4 

12.761 

.9657 

96.73 

1234.4 

3     6 

14.069 

1.014 

100.1 

1407.6 

3     8 

15.442 

1.062 

103.4 

1596.7 

3  10 

16.877 

1.111 

106.6 

1799.1 

4     0 

18.376 

1.159 

109.9 

2019.5 

4     2 

19.940 

1.207 

113.0 

2254.0 

4     4 

21.566 

1.255 

116.0 

2501.4 

4     6 

23.258 

1.304 

119.1 

2770.0 

4     8 

25.013 

1.352 

122.1 

3053.8 

4  10 

26.830 

1.400 

125.0 

3353.0 

5     0 

28.713 

1.449 

128.0 

3675.6 

5    .2 

30.660 

1.497 

130.7 

4007.9 

104 


D= 

trans- 
verse 
diam. 
ft.     in. 

a  =  area  in 
square  ft. 

r  —  hy- 
draulic 
mean 
depth 
in  feet. 

For 

velocity. 
e^/f~ 

For 
discharge 

ac^/r 

5      4 

32.669 

1.545 

133.6 

4364.9 

5     6 

34.743 

1.593 

136.4 

4738.0 

5     8 

36.880 

1.642 

139.2 

5131.7 

.5  10 

39.  Obi 

1.690 

142.0 

5548.0 

6     0 

41.347 

1.738 

144.6 

5980.3 

6     2 

43.676 

1.787 

147.3 

6435.1 

6     4 

46.068 

1.835 

149.8 

6902.6 

6     6 

48.525 

1.883 

152.5 

7399.3 

6     8 

51.046 

1.931 

155.   2 

7920.6 

6  10 

53.629 

1.980 

157.7 

8547.1 

7     0 

56.278 

2.028 

160.2 

9015.7 

7     4 

61.764 

2.124 

165.0 

10192 

7     8 

67.508 

2.221 

170.1 

11482 

105 


D= 

trans- 
verse 
diam. 
ft.     in. 

a  =  area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth 
hi  feet. 

For 

velocity. 

o^/r 

For 
discharge 
ac/y/r 

8     0 

73.506 

2.318 

174.8 

12852 

8     4 

79.758 

2.414 

179.6 

14327 

8     8 

86.268 

2.511 

184.3 

15898 

9     0. 

93.030 

2.607 

188.8 

17563 

9     4 

100.049 

2.704 

193.1 

19323 

9     8 

107.324 

2.800 

197.5 

21198 

10     0 

114.853 

2.897 

201.9 

23191 

10     6 

126.625 

3.042 

208.3 

26376 

11     0 

138.972 

3.187 

214.6 

29822 

12     0 

165.388 

3.476 

226.8 

37502 

106 


TABLE   4. — GIVING  VALUES    OF  a  AND  r 

AND      ALSO     THE     FACTORS     C^/r     AND 

ac^r*.  FOR  CORRESPONDING  DIAME- 
TERS OF  EGG-SHAPED  SEWERS,  FLOW- 
IVG  two -thirds  full  depth,  GIVEN  IN 
FIRST  COLUMN. 

These  factors  are  to  be  used  only  where  the 
value  of  n,  that  is  the  coefficient  of  roughness  of 
lining  of  channel =.01 5,  as  in  second  class  or 
rough-faced  brickwork,  well-dressed  stone  work, 
foul  and  slightly  tuberculated  iron,  cement  and 
terra  cotta  pipes  with  imperfect  joints  and  in  bad 
order. 

Area  of  section  of  egg-shaped  sewer  flowing  two- 
thirds  full  depth  =  D2  X  0.755825. 

Perimeter  of  section  of  egg-shaped  sewer  flowing 
two-thirds  full  depth  =  D  X  2.3941. 

Hydraulic  mean  depth  of  section  of  egg-shaped 
sewer  flowing  two-thirds  full  depth  = 
D  X  0.3157. 

<o=c  \/r~X  A/*"   Q=<w=ac  ^fr  X  V8- 


107 


D= 

trans- 
verse 
diam. 
ft.     in. 

&=area  in 
square  ft. 

r  =  hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c\/r 

For 
discharge 

ac\/r 

1      0 

0.756 

0.316 

42.40 

32.048 

1      2 

1.029 

0.368 

47.80 

49.181 

1      4 

1.344 

0.421 

52.82 

70.993 

1      6 

1.701 

0.474 

57.68 

98.115 

1     8 

2.099 

0.526 

62.46 

131.10 

1  10 

2.540 

0.579 

66.94 

170.02 

2     0 

3.023 

0.631 

71.42 

216.54 

2     2 

3.548 

0.684 

75.59 

268.19 

2     4 

4.115 

0.737 

79.69 

327.93 

2     6 

U'.724 

0.789 

83.90 

396.32 

2     8 

5.375 

0.842 

87.82 

472.01 

2  10 

6.067 

0.894 

91.60 

555.74 

3     0 

6.802" 

0.947 

95.33 

648.40 

108 


D= 

trans- 
verse 
diam. 
ft.     in. 

&=area  in 
square  ft. 

r=hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c<\/r 

For 

discharge 
ac^/r^ 

3     2 

?,579 

1.000 

99.10 

751.08 

3     4 

8.398 

1.052 

102.7 

862.41 

3     6 

9.259 

1.105 

106.2 

983.24 

3     8 

10.161 

1.158 

109.7 

1115.1 

3  10 

11.106 

1.210 

113.2 

1256.1 

4     0 

12.093 

1.263 

116.5 

1409.4 

4     2 

13.123 

1.315 

119.8 

1572.1 

4     4 

14.192 

1.368 

123.1 

1746.9 

4     6 

15.305 

1.421 

126.3 

1932.7 

4     8, 

16.460 

1.473 

129.4 

2130.5 

4  10 

17,656, 

1.526 

132.5 

2338.6 

5,  a 

18.895 

il.579 

135.5 

2560.3 

&.  2:, 

'20,177. 

1.631 

138.6 

2795.9 

109 


T>-= 

trans- 
verse 
diam. 
ft.     in. 

a  =  area   lr» 
square  ft. 

^hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c\/r 

For 
discharge 

ac\/r 

5     4 

21.498 

1.684 

141.7 

3045.5 

5     6 

22.863 

1  .  736 

144.6 

3305.3 

5     8 

24.270 

1.789 

147.5 

3578.9 

5  10 

25.718 

1.842 

150.3 

3864.8 

6     0 

27:210 

1.894 

153  .  1 

4165.3 

6     2 

28.743 

1.947 

155.9 

4481  .  6 

6     4 

30.317 

1.999 

158.7 

4811.9 

6     6 

31.933 

2.052 

161.5 

5158.5 

6     8 

33.592 

2.095 

164.2 

5516.6 

6  10 

35.292 

2.157 

166.9 

5891.0 

7     0 

37.035 

2.210 

169.6 

6283.5 

7     4 

40.646 

2.315 

174.8 

7106.8 

7     8 

44.426 

2.420 

179.9 

7993.0 

110 


v= 

trans- 
verse 
diam. 
ft.     in. 

#=area  in 
square  ft. 

T—  hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c\/r 

For 
discharge 
ac^/r 

8    -0 

48.373 

2.526 

184.9 

8944.0 

8     4 

52.487 

2.631 

189.8 

9964.1 

8     8 

56.771 

2.736 

194.6 

11050 

9     0 

61.222 

2.841 

199.5 

12213 

9     4 

65.840 

2.947 

204.2 

13444 

9     8 

70.628 

3.052 

208.7 

14743 

10     0 

75.583 

3.157 

213.3 

16125 

10     6 

83.330 

3.315 

220.1 

18342 

11     0 

91.445 

3.473 

226.8 

20738 

12     0 

108.839 

3.788 

239.4 

26060 

Ill 


TABLE   5.  —  GIVING  VALUES    OF   a   AND  r 

AND      ALSO      THE     FACTORS     C^/f   AND 

ac^/rl  FOR  CORRESPONDING  DIAME- 
TERS OF  EGG-SHAPED  SEWERS,  FLOW- 
ING one-third  full  depth,  GIVEN  IN 
FIRST  COLUMN. 

These  factors  are  to  be  used  only  where  the 
value  of  n,  that  is  the  coefficient  of  roughness  of 
lining  of  channel=.015,  as  in  second  class  or 
rough-faced  brickwork,  well-dressed  stone  work, 
foul  and  slightly  tuberculated  iron,  cement  and 
terra  cotta  pipes  with  imperfect  joints  and  in  bad 
order. 

Area  of  section  of  egg-shaped  sewers  flowing  one- 
third  full  depth  —  D2  X  0.284. 

Perimeter  of  section  of  egg-shaped  sewer  flowing 
one-third  full  depth  =  D  X  1.3747. 

Hydraulic  i^ean  depth  of  section  of  egg-shaped 
sewers  flowing  one-third  full  depth  = 
D  X  0.2066. 


V*-     Q,=av= 


n: 


D= 

trans- 
verse 
diam. 
ft.     in. 

a  =  area  in 
square  ft. 

^hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c\/r 

For 

discharge 

ac^/r 

1      0 

0.284 

0.207 

30.41 

8.637 

1      2 

0.387 

0.241 

34.38 

13.303 

1      4 

0.505 

0.276 

38.16 

19.269 

1     6 

0.639 

0.310 

42.23 

26.986 

1     8 

0.789 

0.344 

45.39 

35.815 

1  10 

0.955 

0.379 

48.74 

46.546 

2     0 

1.136 

0.413 

52.09 

59.173 

2     2 

1.333 

0.448 

55.29 

73.696 

2     4 

1.546 

0.482 

58.58 

90.568 

2     6 

1.776 

0.517 

61.58 

109.37 

2     8 

2.020 

0.551 

64.49 

130.26 

2  10 

2.280 

0.585 

67.46 

153.80 

3     0 

2.556 

0.620 

70.48 

180.14 

113 


D= 

trans- 
verse 
diain. 
ft.     in. 

a=area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c^/r 

For 
discharge 
ac\/r 

3      2 

2.848 

0.654 

73.24 

•208.58 

3      4 

3.156 

0.689 

75.98 

239.79 

3      6 

3.479 

0.723 

78.63 

273.54 

3     8 

3.818 

0.758 

81.31 

310.44 

3  10 

4.173 

0.792 

84.03 

350.67 

4     0 

4.544 

0.826 

86.61 

393.55 

4     2 

4.931 

0.861 

88.98 

438.75 

4     4 

5.333 

0.895 

91.60 

488.50 

4     6 

5.751 

0.930 

94.08 

541.04 

4     8 

6.185 

0.964 

96.57 

597.29 

4  10 

6.635 

0.999 

99.10 

657.53 

5     0 

7.100 

1.033 

101.3 

719.27 

5     2 

7.581 

1.068 

103.7 

785.86 

114 


D= 

trans- 
verse 
diam. 
ft.     in. 

«=area  in 
square  ft. 

r=  hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

cyV 

For 
discharge 

ac^/r~ 

5      4 

8.078 

1.102 

106.1 

856.67 

5      6 

8.591 

1.136 

108.3 

930.54 

5     8 

9.120 

1.161 

110.6 

1008.7 

5  10 

9.664 

1.205 

112.9 

1091.0 

6     0 

10.224 

1.240 

115.0 

1175.8 

6     2 

10.800 

1.274 

117.3 

1266.4 

6     4 

11.391 

1.309 

119.4 

1359.8 

6     6 

11.999 

1.343 

121.5 

1458.1 

6     8 

12.622 

1.377 

123.7 

1561.0 

6  10 

13.261 

1.412 

125.8 

1668.8 

7     0 

13.916 

1.446 

127.9 

1779.4 

7     4 

15.273 

1.515 

131.9 

2014.1 

7     8 

16.693 

1.584 

135.8 

2266.7 

115 


D  = 

trans- 
verse 
d  am. 
ft.     in. 

a  =  area  in 
square  ft. 

r  =  hy- 
draulic 
mean 
depth 
in  feet. 

For 
velocity. 

c<\/r 

For 
discharge 
ac^/r~ 

8     0 

18.176 

1.653 

139.9 

2542.7 

8     4 

19  .  722 

1  .  722 

143.7 

2833.8 

8     8 

21.332 

1.791 

147.5 

3146.2 

9     0 

23.004 

1.859 

151.3 

3480.7 

9     4 

24.739 

1.928 

155.0 

3834.7 

9     8 

26.538 

1.997 

158.6 

4208.4 

10     0 

28.400 

2.066 

162.1 

4604.7 

10     6 

31.311 

2.169 

167.5 

5245.3 

11     0 

34.364 

2.273 

172.6 

5932.1 

12     0 

40.892 

2.479 

183.1 

7489.0 

CATALOGUE 

OF  THE 

SCIENTIFIC  PUBLICATIONS 

OF 

D.    VAN  NOSTRAND   COMPANY, 

23  MURRAY  STREET  AND  27  WARREN  STREET,  N.  Y. 


A.  B.  C.  CODE.    (See  Clausen-Thue.) 

ABBOTT  (A.  T.).  The  Electrical  Transmission  of 
Energy.  A  Manual  for  thn  Design  of  Electrical 
Circuits.  Second  edition,  revised.  Fully  illustrated. 
8vo,  cloth  ......  ^  .....  .............................  $450 

ABBOT  (Gen'l  HENRY  I,/).  The  Defence  of  the 
Seacoast  of  the  United  States.  Lectures  delivered 
before  the  U.  S.  Naval  War  college,  bvo,  red  cloth.  2  00 

ADAMS  (J.  TV.).  Sewers  and  Drains  for  Populous 
Districts.  Embracing  Rules  and  Formulas  for  the 
dimensions  and  construction  of  works  of  Sanitary 
Engineers.  Fifth  edition.  8vo,  cloth.  ........  2  50 

A  1  .  CODE.    (See  Clausen-Thue.) 

AIRMAN  (C.  M.,  Prof.).  Manures  and  the  Princi- 
ples of  Manuring.  8vo,  cloth  ............  ...........  2  50 

ALEXANDER  (J.  H.V  Universal  Dictionary  of 
Weights  and  Measures,  Ancien'  and  Modern,  reduced 
to  the  Standards  of  the  United  States  of  America. 
New  edition,  enlarged.  8vo,  cloth  .................  3  50 

AXEXAXDER  (S.  A.).  Broke  Down:  What  Should 
I  Do?  A  Ready  Reference  and  Key  to  Locomotive 
Engineers  and  Firemen,  Round  House  Machinists, 
Conductors.  Train  Hands  and  Inspectors.  With  5 
folding  plates  12mo,  cloth  .....................  1  50 


(C.  F.).    Tables  for  Earthwork  Computation. 
8vo,  cloth  .....................  .................  1  50 


D.    VAN    NOSTRAND    COMPANY  S 


ANI>ERM>N  (J.  W.).  The  Prospectors  Ha^d-book  ; 
A  Guide  for  the  Prospector  a  d  Traveller  in  search 
of  ei  al-bearing  or  other  Valuable  Minerals.  Seventh 
editiou,  thoroughly  revised,  and  much  enlarged.  8vo, 
cloth 150 

ANDERSON  (WILLIAM).  On  the  Conversion  of 
Heat  into  Work.  A  Practical  Hand-book  on  Heat- 
Kngines.  Third  edition.  Illustrated.  12mo,  cloth.  2  25 

ANDES  (LOUIS).  Vegetable  Fats  and  Oils;  their 
Practical  Preparation,  Purification  and  Employment 
for  various  purposes,  i  heir  Properties  Adulteration 
and  hxaminatiou.  A  Hand-book  for  Oil  Manufac- 
turers and  Refiners,  Candle.  Soap  and  Lubricating 
Oil  Manuf  c  ure  s  and  the  Oil  and  Fat  Industry  in 
general.  Transl  .ted  from  the  German.  With  94 
illustrations.  8vo,  cloth 400 


-  Animal  Fats  and  Oils.  Their  Practical  Production, 


Purification  and  Uses  for  a  great  variety  of  purposes, 
their  Properties,  Falsification  and  Examination.  A 
Hand-book  for  Manufacturers  of  Oil  and  Fat 
Products.  Soap  and  Ca  die  Makers,  Agri'-ulturists, 
Tanners,  etc.  Translated  by  Charles  Walter.  Wiih 
62  illustrations.  8vo,  cloth net  4  00 

ARNOLD  (Dr.  R.).  Ammonia  and  Ammonium 
Compounds.  A  Practical  Manual  for  Manufacturers, 
Chemis  s,  Gas  Engineers  and  Drysalters.  Second 
edition,  12mo,  cloth 200 

ARNOLD  (E.).  Armature  Windings  of  Direct  Current 
Dynamos.  Extension  and  Application  of  a  General 
Winding  Rule.  Translated  from  the  original  German 
by  Francis  B.  DeGre^s,  M.  E.  With  numerous 
illustrations (In  Press.) 

ATKINSON  (PHILIP).  The  Elements  of  Electric 
Lighting,  including  Electric  Generation.  Measure- 
ment, St  rage,  and  Distribution.  Ninth  edition. 
Fully  r«  vised  and  new  matter  added.  Illustrated. 
12mo,  cloth 1  50 


-  The  Elements  of  Dynamic  Electricity  and  Mag- 


netism.    Third  edition.     120  illustrations.      12mo, 
cloth ,.,,,. .,,,..,..,,,....,   ,. 200 


SCIENTIFIC    PUBI  ICATIONS. 


ATKINSON  (PHILIPS  Power  Transmitted  by  Elec- 
tricity and  its  Application  by  the  Electric  Motor, 
including  Electric  Railway  Construction.  New 
edition,  thoro  ghly  revised,  and  mu  h  new  matter 
added.  Illustrated  12mo,  cloth 2  00 

—  Elements  of  Static  Electricity,  with  full  descrip- 
tion of  the  Holtz  and  Topler  Machines  and  their 
mode  of  operating.  Illustrated.  I2mo,  cloth  150 

AUCHINCXOSS  (W.  S.).  Link  and  Valve  Motions 
Simplified.  Illustrated  with  29  woodcuts  and  20 
lithographic  plates,  together  with  a  Travel  Scale, 
and  numerous  useful  tables,  Thirteenth  edition, 
revised.  8vo,  cloth 200 

AXON  (W.  E.  A.).  The  Mechanic's  Friend.  A  Collec- 
tion of  Receipts  and  Practical  Suggestions.  I2mo., 
cloth 150 

BACON  (F.  W.).  A  Treatise  on  the  Richards,  Steam- 
Engine  Indicator,  with  directions  for  its  use  By 
Charles  T.  Porter.  Revised,  with  notes  and  large 
additions  as  developed  by  American  practice;  with 
an  appendix  co  taining  useful  formulae  and  rules 
for  engineers.  Illustrated.  Fourth  edition.  12mo, 
cloth 100 

BADT  (F.  B.).    New  Dynamo  Tender's  Handbook. 

\\  ith  140  illustrations.        18mo,  cloth 1  00 


-  Bell  Hangers1  Hand-book.     With  97  illustrations. 


Second  edition.    18mo,  cloth 1  00 

—  Incandescent  Wiring  Hand-book.    With  35  illus- 
trations and  five  tables.    Fifth  edition.    18mo,  cloth.  1  00 


-  Electric  Transmission  Hand-book.    With  22  illus- 


trations and  27  tables.    Ifcmo,  cloth  1  00 

(M.  P.).    Pumps  and  Pumping.    A  Hand-book 
for  Pump  Users.    l*mo,  cloth.  1  00 

BAHBA  (J.).  The  Use  of  Steel  for  Constructive 
Purposes.  Method  of  Working,  App  ying,  and  Test- 
ing Plates  and  Bars  With  a  Preface  by  A.  L  Holley, 
C.  E.  l^mo,  cloth  1  BO 

BARKER  (ARTHl  R  H.).  Graphic  Methods  of 
Engine  Design.  Including  a  Graphical  Treatment 
of  the  Balancing  of  Engines.  12mo,  cloth 1  60 


D.    VAN.  ROSTRAND   COMPANY'S 


BARNARD  (F.  A.  P.).  Report  on  Machinery  and 
Processes  of  the  Industrial  Arts  and  Apparatus  of 
the  Ex  ct  {Sciences  at  the  Paris  Univer-al  Exposi- 
tion, 1867.  152  illustrations  and  S  folding  plates. 
8vo,  cloth 5  00 

BARNARD    fJOHY   H.).     The  Naval  Militiaman's 

Guide.    Full  leather,  pocket  form .  ? 1  25 

BAR  WISE  (SIDNEY,  M.  D.,  London).  The  Puri- 
fication of  Sewage.  Being  a  brief  account  of  the 
Scientific  Principles  of  Sewage  Purification  and 
their  Practical  Application.  12mo,  cloth.  Illustrated.  2  00 

BAUMEISTER  (R.).  The  Cleaning  and  Sewage  of 
Cities.  Adapted  from  the  German  with  permission 
of  the  author.  By  J.  M.  Goodell,  C.  E.  Second 
edition,  revised  and  corrected,  together  with  an 
additional  appendix.  8vo,  cloth.  Illustrated 2  00 

BEAUMONT  (ROBERT).  Color  in  Woven  Design. 
With  32  Colored  Plates  and  numerous  original  illus 
trations.  Large  12mo 7  50 

BEAUMONT,  W.  and  DUGALD  CLERK.  Auto- 
cars and  Horseless  Carriages (In  Press.) 

BECKWITH  (ARTHUR).  Pottery.  Observations 
on  the  Materials  and  Manufacture  of  Terra-Cotta, 
Stoneware.  Fire-Brick,  Porcelain,  Earthenware, 
B<ick,  Majolica,  and  Encaustic  Tiles.  8vo,  paper. 
Second  edition 60 

BERNTHSEN  (A.).  A  Text-Book  of  Organic  Chemis- 
try. Translated  by  George  M'Gowan,  Ph.  D.  J  bird 
English  edition.  Revised  and  extended  by  author 
and  translator.  Illustrated.  I2mo,  cloth. 2  50 

BERTIN  (L,.  E.).  Marine  Boilers  :  Their  Construc- 
tion and  Working,  dealing  more  especially  '  with 
Tubulous  Boilers.  Translated  by  Leslie  S.  Robertson, 
Upward  of  250  illustrations.  Preface  hy.Sir  William 
White.  8vo,  cloth.  Illustrated ..'..:  ......  7  50 

BIGGS  (C.  H.  W.).  First  Principles  of  Electricity 
and  Magnetism.  Being  an  attempt  to  provide  an 
Elementary  Book  f.-r  those  intending  to  enter  the 
profession  of  Electrical  Engineering.  Second  edition. 
Smo,  cloth.  Illustrated .......:.....  200 


SCIENTIFIC   PUBLICATIONS. 


BLAKE  (W.  P.).  Report  upon  the  Precious  Metals. 
Being  Statistical  Notices  of  the  principal  Gold  and 
Silver  producing  regions  of  the  world,  represented 
at  the  Paris  Universal  Exposition.  8vo,  cloth 2  00 

Ceramic  Art.    A  Report  on  Pott°ry,  Porcelain, 

Tiles,  Terra-Cotta,  and  Brick.  8vo,  cloth 2  00 

BtAKESLEY  (T.  H.).  Alternating  Currents  of  Elec- 
tricity. For  the  use  of  Students  and  Engineers. 
Third  edition,  enlarged.  12mo,  cloth 150 

BLOUNT  (BERTRAM).     Electro-Metallurgy  

(In  Press.) 

BL.YTH  (A.  WYNTER,  M.  R.  C.  S.,  F.  C.  S.). 
Foods  :  their  Composition  and  Analysis.  AM  mual 
for  the  use  of  Analytical  Chemists,  with  an  Intro- 
ductory Essav  on  the  History  of  Adu'terations,  with 
numerous  tables  and  illustrations.  Fourth  edition, 
revised  and  enlarged.  8vo,  cloth  7  50 


•  Poisons  :  their  Effects  and  Detection.    A  Manual 


for  the  use  of  Analytical  Chemists  and  Experts, 
with  an  Introductory  Essay  on  the  growth  of  Modern 
Toxicology.  Third  edition,  revised  and  enlarged. 
8vo,  cloth 750 

BODMER  (G.  R.).  Hydraulic  Motors  ;  Turbines  and 
Pressure  Engines,  for  the  use  of  Engineers,  Manu- 
facturers and  Students.  Second  edition,  revised  and 
enlarged.  With  204  illustrations.  12mo,  cloth 5  00 

BOII/E4TJ  (J.  T.).  A  New  and  Complete  Set  of 
Traverse  Tables  Showing  theDiffeieuceof  Latitude 
and  Departure  of  every  minute  of  the  Quadrant  and 
to  five  places  of  decimals.  8vo,  cloth 5  00 

BOTTONE  (S.  R.).  Electrical  Instrument  Making  for 
Amateurs.  A  Practical  Hand-book.  With  4b  illus- 
trations. Fifth  edition,  revised.  12mo,  cloth 50 

Electric  Bells,  and  all  about  them.    A  Practical 

Book  for  Practical  Men.  With  mop  than  100  illus- 
trations. 12mo,  cloth.  Fourth  edition,  revised  and 
enlarged 50 

The     Dynamo  :   How   Made    and  How  Used.    A 

Book  for  Amateurs.    Eighth  edition.    12mo,  cloth...  100 


D.    VAN    NOSTRAND    COMPANY'S 


BOTTO^ E  (S.  R^.  Electro  Motors:  How  Made  and 
How  Used.  A  Hand-b  ok  foe  Amateurs  and  Practical 
Men.  Second  edition.  12mo,  cl  tb .  .  50 

BONNET  (G.  K.).  The  Electro-Platers'  Hand-book. 
A  Manual  for  Amateurs  and  Young  Students  on 
Electro- Metallurgy.  60  illustrations,  12mo,  cloth..  120 

BOW  (K.  H.).  A  Treatise  on  Bracing.  With  its  appli- 
cation to  Bridges  and  other  Structures  of  Wood  or 
Iron.  156  illustrations.  8vo,  cloth 1  50 

BOWSER  (Prof.  E.  A.).  An  Elementary  Treatise 
on  Analytic  Geo-netry.  Embracing  Plane  Geometry, 
and  an  Introduction  to  Geometry  of  three  Dimen- 
sions. 12mo,  cloth.  Nineteenth  edition 1  75 

—  An  Elementary  Treatise  on  the  Differential  and 

Integral     Calculus      With    numerous     examples. 
12mo,  cloth.    Sixteenth  edition 2  25 

An  Elementary  Treatise  on  Analytic  Mechanics. 

With  numerous  examples.     12mo,  cloth.    Twelfth 
edition 3  00 

An   Elementary  Treatise   on   Hydro-Mechanics. 

With    numerous    examples.     12mo,    cloth      Fifth 
edition 260 


-  A  Treatise  on  Roofs  and  Bridges.  With  Numerous 


Ex  rcises.  Especially  adapted  for  school  use.  12mo, 
cloth.     Illustrated net  2  25 

—  Academic  Algebra.    Third  edition.    12mo,  cloth. .  1  25 

—  College  Algebra.    Fourth  edition.    12mo,  cloth ..  1  75 


-  Elements  of  Plane  and  Solid  Geometry.    12mo, 


cloth.    Second  edition 1  40 

BOWIE(AUG  J.,  Jun.,  M.  E.).  A  Practical  Treatise 
on  Hydraulic  Mining  in  California.  With  Description 
of  the  Use  and  Construction  of  Ditches,  Flumes, 
Wrought-iron  Pipes  and  Dams  ;  Flow  of  Water  on 
Heavy  Graces,  and  its  Applicability,  under  High 
Pressure,  o  Mining.  Fifth  edition.  Small  quarto, 
cloth.  Illustrated 500 

BURGH  (N.  P.).  Modern  Marine  Engineering,  applied 
to  Paddle  and  Screw  Propulsion.  Consisting  of  86 
colored  plates,  259  practical  woodcut  illustrations, 


SCIENTIFIC  PUBLICATIONS. 


and  403  pages  of  descriptive  matter.  The  whole 
being  an  exposition  of  the  present  practice  of  James 
Watt  &  Co.,  J.  &  (Jr.  Rennie,  R.  N  ipier  &  Son-,  and 
other  celebrated  firms.  ThicK  quarto,  half  morocco.  10  00 

BURT  (W.  A.}.  Key  to  the  Polar  Compass,  and 
Surveyor's  Companion.  Comprising  all  the  rules 
necessary  for  use  in  the  fie  d  ;  also  description  of 
the  Linear  Surveys  and  Public  Land  System  of  the 
United  Stafr  s.  Notes  on  th  Ba  ometer,  Suggestions 
for  an  Oufit  for  a  Survey  of  Four  Months,  etc.  Fifth 
edition.  Pocket-book  form,  tuck  2  50 

CALDWELL,   (G.   C.),    and   A.  A.  BRENKMAN. 

Manual  of  Introductory  Chemical  Practice.  For 
the  use  of  Students  i-i  Colleges  and  Normal  and 
High  Schools.  Fourth  edition,  revised  and  corrected. 
8vo,  cloth  Illustrated 150 

CAMPIN  (FRANCIS).  On  the  Construction  of  Iron 
Roofs.  A  i  heoretical  and  Practical  Treatise,  with 
wood  cuts  and  Plates  of  Roofs  recently  t  xecuted. 
8vo,  cloth 2  00 

CARTER  (E.  T.).  Motive  Power  and  Gearing  for 
Electrical  Machinery.  A  Treatise  on  the  Theory 
and  Practice  of  the  Mechanical  Equipment  of  Power 
Stations  for  Electric  supply  and  for  t-lectic  Traction. 
8vo,  cloth.  Illustrated 500 

CHAMBER'S  MATHFMATICAL  TABLES,  con- 
sisting  of  logarithms  of  Numbers  1  to  108,OuO.  Trigo- 
nometrical, Nautical,  and  other  tables.  New  edition. 
8vo,  cloth 1  75 

CHAUVENET  (Prof.  W.).  New  Method  of  Correct- 
ing Lun  «r  Distances,  and  Impiovet  Method  of 
Find.ng  the  Error  and  Rate  of  a  Chronometer,  by 
Equal  Altuudes.  8vo,  cloth 2  00 

CHRISTIE  (W.  WALLACE).  Chimney  Design  and 
i  heory.  A  Book  for  Engineers  und  Architects,  with 
numerous  half-tone  illustrati  ns  and  plates  of  famous 
ciiMine.,  b.  J2ujO,  cloth 300 

CHFRCH  (JOHN  A.).  Notes  of  a  Metallurgical 
Journey  in  Europe.  8vo,  cloth 2  00 

CLARK  D.  (KINNRAR,  C.  E.).  A  Manual  of  Rules, 
Tables  and  Data  for  Mechanical  Engineers.  Based 


D.    VAN   NOSTRAND    COMPANY'S 


on  the  most  recent  investigations.  Illustrated  with 
numerous  diagrams.  1,012  pages.  8vo,  cloth.  Sixth 

edition 5  00 

Half  morocco 7  50 

CLARK  D.  (KINNEAR,  C.  E.).  Fuel ;  its  Combust- 
ion and  Economy,  consisting  of  abridgements  of 
Treatise  on  the  Combustion  of  Coal.  By  C.  W. 
Williams ;  and  the  Economy  of  *  uel,  by  T.  S. 
Prideaux.  With  extensive  additions  in  recent  prac- 
tice in  the  Combustion  and  Economy  of  Fuel.  Coal, 
Coke,  Wood,  Peat,  Petroleum,  etc.  Fourth  edition. 
12mo,  cloth. 1  50 

The  Mechanical  Engineer's  Pocket-book  of  Tables, 

Formulae,  Rules  and  Data.  A  Handy  Book  of 
Reference  for  Daily  Use  in  Engineering  Practice. 
16mo,  morocco.  Second  edition 3  00 


— Tramways,  their  Construction  and  Working,  em- 
bracing a  comprehensive  history  of  the  system, 
with  accounts  of  the  various  modes  of  traction,  a 
description  of  the  varieties  of  rolling  stock,  and 
ample  details  of  Cost  and  Working  Expenses. 
Second  edition.  Re-written  and  greatly  enlarged, 
with  upwards  of  400  illustrations.  Thick  8vo.  cloth.  9  00 


The  Steam  Engine.  A  Treatise  on  Steam  Engines 

and  fc  oilers  ;  comprising  the  Principles  and  Practice 
of  the  Combustion  of  Fuel,  the  Economical  Genera 
tion  of  Steam,  the  Construction  of  Steam  Boilers,  and 
the  Principles,  Construction  and  Performance  of 
Steam  Engines,  Stationary,  Portable,  Locomotive 
and  Marine,  exemplified  in  Engines  and  Boilers  of 
recent  date.  1,300  figures  in  the  text,  and  a  series 
of  folding  plates  drawn  to  scale.  2  vols.  8vo,  cloth.  15  00 

CLARK  (JACOB  M.).  A  new  System  of  Laying  Out 
Railway  Turn-outs  instantly,  by  inspeciion  from 
Tables.  12mo,  leatherette ..  .100 

CLAUSEN-THU  (W.).  The  A.  B.  C.  Universal  Com- 
mercial Electric  Telegraphic  Code  .  especially 
adapted  for  the  use  of  Financiers,  Merchants,  Ship- 
owners, Brokers,  Agent,  etc.  Fourih  edition  8vo, 
cloth.  „„,...  5  00 


-  The  Al  Universal  Commercial  Electric  Telegraphic 


Code.    Over  1,240  pp.,  and  nearly  90,000  variations. 
8vo,  cloth. 7  50 


SCIENTIFIC  PUBLICATIONS. 


CLEEMANN  (THOS.  M.).  The  Railroad  Engineer's 
Practice.  Being  a  Short  but  Complete  Description 
of  the  Duties  of  the  Young  Engineer  in  the  Prelimi- 
nary and  Location  Surveys  and  in  Construction. 
Fourth  edition.  Revised  and  enlarged.  Illustrated. 
12mo,  cloth .  1  50 

CLERK  (DUG  ALD).  Auto-cars  or  Horseless  Vehicles. 
About  300  pp.,  60  illustrations (In  Press.) 

CLEVENGER  (8.  R.).  A  Treatise  on  the  Method  of 
Government  Surveying  as  prescribed  by  the  U.  S. 
Congress  and  Commissioner  of  the  General  Land 
Office,  with  complete  Mathematical,  Astronomical 
and  Practical  Instructions  for  the  use  of  the  United 
States  Surveyors  in  the  field.  16mo,  morocco 2  50 

COFFIN  (Prof.  J.  H.  C.).  Navigation  and  Nautical 
Astronomy.  Prepared  for  the  use  of  the  U.  s.  Naval 
Academy.  New  Edition.  Revised  by  Commander 
Charles  Belknap.  52  woodcut  illustrations.  12mor 
cloth net.  3  50 

COLE  (R.  S.,  M.  A.).  A  Treatise  on  Photographic 
Optics.  Being  an  account  of  the  Principles  of 
Optics,  so  far  as  they  apply  to  Photography.  12mo, 
cloth,  103  illustrations  and  folding  plates 2  50 

COLLINS  (JAS.  E.).  The  private  Book  of  Useful 
Alloys,  and  Memoranda  for  Goldsmiths,  Jewelers, 
etc.  18mo,  cloth  50 

CORNWALL  (Prof.  H.  B.).  Manual  of  Blow-pipe 
Analysis,  Qualitative  and  Quantitative.  With  a 
Complete  System  of  Descriptive  Mineralogy.  8vo, 
cloth.  With  many  illustrations 2  50 

CRAIG  (B.  F.).  Weights  and  Measures.  An  Account 
of  the  Decimal  System,  with  Tables  of  Conversion 
for  Commercial  and  Scientific  Uses.  Square  b2mo, 
limp  cloth 5f 

CROCKER  (F.  B.).  Electric  Lighting.  A  Practical 
Exposition  of  the  Art,  for  use  of  Engineers.  Students, 
and  others  interested  in  the  Installation  or  Operation 
of  Electrical  Plants  Second  edition.  Revised. 

8vo,  clotn.    Vol.  1.    The  Generating  Plant 3  00 

Vol.2 (InPress.) 


t6  £>.  VAN  NOSTkAKD   COMPANY'S 

CROCKER,   (F.  B.),  and  S.   S.   WHEKUER.    The 

Practical  Management  of  Dynamos  and  Motors. 
Fourth  edition  (eighth  thousand).  Revised  and 
enlarged.  With  a  special  chapter  by  H.  A.  Foster. 
12mo,  cloth.  Illustrated 1  00 

CUMMING  (LINNAEUS  OT .  A.).  Electricity  treated 
Experimentally.  Fo  the  use  of  Schools  and  Students 
New  edition.  12mo,  cloth 1  50 

DA  VIES  (E.  H.).  Machinery  for  Metalliferous  Mines. 
A  Practical  Treatise  f  •  r  Mining  Engineers.  Metallur- 
gists and  Manufacturers.  \Vith  upwards  of  300 
illustrations.  8vo,  cloth 5  00 

DAVIS  (JOHN  W.,  C.  E.).  Formulae  for  the  Calcu- 
lation of  Kailroad  Excavation  and  Embankment, 
and  for  finding  Average  Haul.  Second  edition. 
Octavo,  half  roan..  1  50 

DAY  (CHARLES).  The  Indicator  and  its  Diagrams. 
With  Chapters  on  Engine  and  Boiler  Testing; 
Including  a  Table  of  Piston  Constants  compiled  by 
W.  H.  Fowler.  12mo,  cloth.  125  illustrations. ......  2  00 

DERR  (W.  L,.).  Block  Signal  Operation.  A  Practical 
Manual.  Oblong,  cloth 1  50 

DIXON(D.  B.).  The  Machinist's  and  Steam  Engineer's 
Practical  Calculator.  A  Compilation  of  Useful  Rules 
and  Problems  arithmetically  solved,  together  with 
General  Information  applicable  to  Shop-Tools,  Mill 
Gearing,  Pulleys  and  Shafts,  Steam-Boilers  and 
Engines.  Embracing  valuable  Tables  and  Instruc- 
tion in  Screw  cutting,  Valve  and  Link  Motion,  etc. 
16mo,  full  mo;  occo,  pocket  form — 1  25 

DODD  (GEO  ).  Dictionary  of  Manufactures,  Mining, 
Machinery,  and  the  Industrial  Arts.  12mo,  cloth  ...  1  50 

DORR  (B.  F ).  The  Surveyor's  Guide  and  Pocket 
Table  Book.  18mo,  morocco  flaps.  Third  edition. . .  2  00 

DRAPER  (C.  H.).  An  Elemen'ary  T*»*t  B->ok  of 
Light,  Heat  and  Sound,  « ith  Numer  us  Examples. 
Fourth  edition.  12mo,  clot  a.  Illustrated 1  00 


-Heat  and  the  Principles  of  Thermo-Dyramics. 


With  many  illustrations  and  numerical  examples. 
13mo,  cloth 1  50 


SCIENTIFIC  PUBLICATIONS.  it 

DUBOIS  (A.  J.).  The  New  Method  of  Graphic 

Statics.  With  60  illustrations.  8vo,  cloth.  ...  150 

EDDY  (Prof.  H.  T.).  Researches  in  Graphical 
Statics.  Embracing  New  Constructions  in  Graphi- 
cal Statics,  a  New  General  Method  in  Graphical 
Statics,  and  the  Theory  of  Internal  Stress  in  Graphi- 
cal Statics.  8vo,  cloth  . .  1  50 

Maximum  Stresses  under  Concentrated  Loads. 

Treated  graphically.  Illustrated.  8vo,  cloth 150 

EISSLER  (M.).  The  Metallurgy  of  Gold  ;  a  Practical 
Treatise  on  the  Metallurgical  Treatment  of  Gold- 
Bearing  Ores,  including  the  Processes  of  Concentra- 
tion and  Chlorination,  and  the  Assaying,  Melting 
arid  Refini  g  of  Gold.  Fou:th  Ediiion,  revised  and 
greatly  enlarged.  187  Uustrations.  12mo,  cloth  500 

The  Metallurgy  of  Silver  ;  a  Practical  Treatise  on 

the  Amalgamation,  Roasting  and  Lixivation  of  Silver 
Ores,  including  the  As  a  ing.  Melting  and  Refining 
of  Silver  Bullion.  124  illustrations.  Second  edition, 
enlarged,  12mo,  cloth  4  00 

The  Metallurgy  of  Argentiferous  Lead  ;  a  Practi- 
cal Treatise  on  the  Smelting  of  Silver  Lead  Ores  and 
the  Refining  of  Lead  Bullion.  Including  Reports 
on  Various  Smelting  Establishments  and  Descrip- 
tions of  Modern  Smelting  Furnaces  and  Plants  in 
Europe  and  America.  With  183  illustrations,  fcvo, 
cloth ...  5  00 

Cyanide  Process  for  the  Extraction  of  Gold  and 

its  Practical  Application  on  the  Witwatersrand  Gold 
Fields  in  South  Africa.  Second  edition.  Enlarged. 
8vo,  cloth.  Illustrations  and  folding  plates 300 


-A  Hand-book  on  Modern  Explosives,  being  a 
Practical  Treatise  on  the  Mai  ufacture  and  use  of 
Dynamite,  Gun  Cotton,  Nitro-Glycerine  and  other 
Explosive  Compounds,  including  the  manufacture 
of  Collodion-Cotton,  with  chapters  on  exploshesin 
practical  application.  Second  edition,  enlarged  with 

150  illustrations.     12mo,  c.oth 500 

EMOT  (C.  W.),  and  STOKER  (F.  H.).  A  compen- 
dious Manual  of  Qualitative  Chemical  Analysis. 
Revised  with  the  co-operation  of  th«  authors,  by 
Prof.  William  R.  Nichols,  Illustrated.  Niu*  teenth 
edition,  newly  revised  by  Prof.  W.  B.  Lindsay,  12mo. 
cloth ....  1  25 


12  t).    VAN   NOSTRAND   COMPANY'S 

ELLIOT  (Maj.  GEO.  H.).  European  Light-House 
Systems.  Being  a  Report  of  a  Tour  of  Inspection 
made  in  1873.  51  engravings  and  21  woodcuts.  8vo, 
cloth 5  00 

ELLISON,  (LEWIS  M.).  Practical  Application  of 
the  Indicator.  With  reference  to  the  adjustment  of 
Valve  Gear  on  all  styles  of  Engines.  Second  edition, 
revised.  8vo.  cloth,  100  illustrations , 2  00 

EVERETT  (J.  D.).  Elementary  Textbook  of 
Physics.  Illustrated.  Seventh  edition  12mo,  cloth  1  50 

EWING  (Prof.  A.  J.).  The  Magnetic  Induction  in 
Iron  and  other  metals.  159  illustrations.  8vo,  cloth  4  00 

FANNING  (J.  T.).  A  Practical  Treatise  on  Hydrau- 
lic and  Water-Supply  Engineering.  Relating  to  the 
Hydrology,  Hydro  dynamics,  and  Practical  Con- 
struction of  Water- Works  in  North  America.  180 
illustrations.  8vo,  cloth.  Fourteenth  edition,  revis- 
ed, enlarged,  and  new  tables  and  illustrations 
added.  650  pages 5  00 

FISH  (J.  C.  I,.).  Lettering  of  Working  Drawings. 
Thirteen  plates,  with  descriptive  text.  Oblong, 
9xl2V6,  boards 100 

FISKE  (Lieut.  BRADLEY  A.,  U.  S.  N.).  Electric- 
ity in  Theory  and  Practices  or,  The  Elements  of 
Electrical  Engineering.  Eighth  edition.  8 vo,  cloth  2  50 

FISHER  (H.  K.  C.  and  DARBY,  W.  C.).    Students' 

Guide  to  Submarine  Cable  Testing.    8vo,  cloth 2  50 

FISHER  (W.  C.).  The  Potentiometer  and  its  Ad- 
juncts. 8vo,  cloth 2  25 

FLEISCHMANN  (W.).  The  Book  of  the  Dairy.  A 
Manual  of  the  Science  and  Practice  of  Dairy  Work. 
Translated  from  the  German,  by  C.  M.  Aikman  and 
R.  Patrick  Wright.  8vo,  cloth 400 

FLEMING  (Prof.  J.  A.).  The  Alternate  Current 
Transformer  in  Theory  and  Practice.  Vol.  1— The 
Induction  of  Electric  Currents;  61 1  pages.  New  edi- 
tion. Illustrated.  8vo,  cloth 500 

Voi.2.    The  Utilization  of  Induced  Currents.    Illus- 
trated.   8vo,  cloth 500 


—  Electric  Lamps  and  Electric  Lighting.  Being  a 
course  of  four  lectures  delivered  at  the  Royal  Insti- 
tution, April-May,  1894.  8vo,  cloth,  fully  illustrated  3  00 


SCIENTIFIC   PUBLICATIONS. 


FLEMING  (Prof.  J.  A.).  Electrical  Laboratory 
Notes  and  Forms,  Elementary  and  advanced.  4to, 
cloth,  illustrated  ............  .......................  5  00 

FOLEY  (NELSON),  and  THOS.  PRAY,  Jr.      The 

Mechanical  Engineers'  Eeference  Book  for  Machine 
and  Boiler  Construction,  in  2  parts.  Part  1—  General 
Engineering  Data.  Part  2  —  Boiler  Construction. 
With  fifty-one  plates  and  numerous  illustrations, 
specially  drawn  for  this  work.  Folio,  half  mor  ...2500 

FORNEY  (MATTHIAS  N.).  Catechism  of  the  Loco- 
motive. Second  edition,  revised  and  enlarged. 
Forty-sixth  thousand.  8vo,  cloth  ...................  3  50 

FOSTER  (Gen.  J.  G.,  U.  S.  A.).  Submarine  Blasting 
in  Boston  Harbor,  Massachusetts.  Removal  of 
Tower  and  Corwin  Rocks.  Illustrated  with  7  plates. 
4to,  cloth  ..............  ...........................  350 

FOSTER  (H.  A.).  Electrical  Engineers1  Pocket  Book. 
1000  pages  with  the  collaboration  of  Eminent 
Specialists  .  .....................  ...  (In  press) 

FOSTER  (JAMES).  Treatise  on  the  Evaporation 
on  Saccharine,  Chemical  and  other  Liquids  by  the 
Multiple  System  in  Vacuum  and  Open  Air.  Second 
edition.  Diagrams  and  large  plates.  8vo,  cloth....  750 

FOWLER.  Mechanical  Engineers'  Pocket  Book  for 

1900  ....................................  .......  1  00 

FOX   (WM.),    and    C.    W.    THOMAS,    M.    E.      A 

Practical  Course  in  Mechanical  Drawing.  12mo, 
cloth  with  plates  .....  ..........  ...................  1  25 

FRANCIS  (JAS.  B.,  C.  E.).  Lowell  Hydraulic 
Experiments.  Being  a  selection  from  experiments 
on  Hydraulic  Motors,  on  the  Flow  of  Water  over 
Weirs,  in  open  Canals  of  uniform  rectangular 
section,  and  through  submerged  Orifices  and 
diverging  Tubes.  Made  at  Lowell,  Mass.  Fourth 
edition,  revised  and  enlarged,  with  many  new  experi- 
ments, and  illustrated  with  23  copper-piate  engrav- 
ings. 4to,  cloth  .............................  .......  1500 

FROST  (GEO.  H.).  Engineer's  Field  Book.  By  C. 
S.  Cross.  To  which  are  added  seven  chapters  on  Rail- 
road Location  and  Construction.  Fourth  edition. 
12mo,  cloth  .........................................  1  00 


14          D.  VAN  NOSTRANb  COMPANY^ 

FIT  I  LER  (GEORGE  W.).  Report  on  the  Investiga- 
tions into  the  Purification  of  the  Ohio  River  Water 
at  Louisville,  Kentucky,  made  to  the  President  and 
Directors  of  the  Louisville  Water  Company.  Pub 
lished  under  agreement  with  the  Directors.  4to, 
cloth.  3  full  page  plates net  10  00 

GEIPEL  (WM.),  and  KILGOUR,  CM..  H.)  A 
Pocketbook  of  Electrical  Engineering  Foimula.  Il- 
lustrated. 18mo,  morocco 300 

Large  paper  edition,  wide  margins.    8vo,  morcco, 
gilt  edges 500 

GERBER  (NICHOLAS).  Chemical  and  Physical 
Analysis  of  Milk,  Condensed  Milk  and  Infant's  Milk- 
Food.  8vo,  cloth 125 

GIBBS  (WILLIAM  F.).  Lishting by  Acetylene,  Gen- 
erators, Burners  and  Electric  Furnaces.  With  66 
illustrations.  Second  edition  revised.  12mo,  cloth. .  1  50 

GILLMORE  (GEN.  Q.  A.).  Treatise  on  Limes,  Hy- 
raulic  Cements,  and  Mortars.  Papers  on  Practical 
Engineering,  United  States  Engineer  Department, 
No  9,  containing  Reports  of  numerous  Experiments 
conducted  in  New  York  Cityduring  the  years  of  1858 
to  1861,  inclusive.  With  numerous  illustrations.  8vo 
cloth.  400 

Practical  Treatise  on  the  Construction  of  Roads. 

Streets,  and  Pavements,  with  TO  illustrations.    12mo, 
cloth 200 


-Report   on  Strength   of  Building  Stones  in  the 


United  States,  etc.    8vo,  illustrated  cloth 1  00 

GOLDING  (HENRY  A.).  The  Theta-Phi  Diagram. 
Practically  applied  to  Steam,  Gas,  Oil  and  Air  En- 
gines .  12mo,  cloth.  Illustrated net  1  25 

GOODEVE  (T.  M.).  A  Text-Book  on  the  Steam  En- 
gine. With  a  Supplement  0*1  Gas-Engines.  Twelfth 
Edition,  enlarged.  143  illustrations.  12mo,  cloth. . .  2  00 

GORDON  (J.  E.  H.).  School  Electricity.  Illustra- 
tions. 12mo,  cloth 2  00 

GORE  (G.,  F.  R.  S.).  The  Art  of  Electrolytic  Separa- 
tion of  Metals,  etc.  (Theoretical  and  Practical.) 
Illustrated.  8vo,  cloth 350 


Electro   Chemistry  Inorganic.     Third  Edition. 


8vo,  cloth. 80 


SCIENTIFIC   PUBLICATION.  15 

GOULD  (E.  SHERMAN).  The  Arithmetic  of  the 

Steam  Engine.  8vo,  cloih 100 

GRIFFITHS  (A. D.,  Ph.  D.).  A  Treatise  on  Manures, 
or  the  Philosophy  of  Manuring.  A  Practical  Hand- 
Book  for  the  Agriculturist,  Manufacturer  and 
Student.  12mo,  cloth 3  00 

GROVER  (FREDERICK).  Practical  Treatise  on 

Modern  Gas  and  Oil  Engines.  8vo,  cloth.  Illustrated  2  00 

GURDEN  (RICHARD  ULOYD).  Traverse  Tables: 
computed  to  4  places  Decimals  for  every  °  of  angle 
up  to  100  of  Distance.  For  the  use  of  Surveyors  and 
Engineers.  New  Edition.  Folio,  half  morocco.  ..750 

GUY  ARTHUR  (F.).  Electric  Light  and  Power, 
giving  the  Result  of  Practical  Experi-nce  in  Central 
Si^ttion  Work.  8vo,  cloth.  Illustrated 2  50 

HAEDER  (HERM  AN  C.  E.).  A  Hand  book  on  the 
Steam  Engine.  With  especial  reference  to  small 
and  medium  sized  engines.  English  edition  re-edited 
by  the  author  from  the  second  German  edition,  and 
translated  with  considerable  additions  and  altera- 
tions by  H.  H.  P.  Powels.  12mo,  cloth.  Nearly  1100 
illustrations 300 

HALT,  (WM.  S.  Prof.).  Elements  of  the  Differential 
and  Integral  Calculus.  Second  edition.  8vo,  cloth. 
Illustrated net  2  25 

HALSE  Y  (F.  A.).  Slide  Valve  Gears;  an  Explanation  of 
the  action  and  Construction  of  Plain  and  Cut-off 
Slide  Valves.  Illustrated.  12mo,  cloth.  Sixth 
edition .....150 

The  Use  of  the   Slide   Rule.      Illustrated  with 

diagrams  and  folding  plates.    16ino,  boards 50 

HAMILTON  (W.  G.).  Useful  Information  for  Rail- 
way Men.  Tenth  Edition,  revised  and  enlarged. 
562  pages,  pocket  form.  Morocco,  gilt 2  00 

HANCOCK  (HERBERT).  Text  Book  of  Mechan- 
ics and  Hydrostatics,  with  over  500  diagrams.  8vo, 
-  cloth 1  75 

HARRISON  (W.  B.).      The  Mechanics1  Tool  Book. 
With  Practical  Rules  and  Suggestions  for  use  of 
N  Machinists,  Iron- Workers,   and  others.  Illustrated 
with  44  engravings.    12mo,  cloth 150 


16  i).   VAN  NOSTRAND   COMPANY'S 

HASKINS  (C.  H.).  The  Galvanometer  and  its  Uses. 
A  M  nual  'or  Electricians  and  Students.  Fourth 
edition.  12mo  co. h  ...- 150 

HAWKE  (WILLIAM  H.).  The  Premier  Cipher 
Telegraphic  Code  Containing  100,000  Words  »cd 
Phrases.  Th«  most  complete  and  most  useful  general 
code  3  et  published.  4to,  cloth  5  00 

100.000  Words;  Supplement  to  the  Premier  Code. 

All  the  words  are  select  «»  from  the  official  vocabu- 
lary. Oblong  qua i  to,  cloth 420 

HAWKINS  (C.  C.)  and  WALLIS  (F.).  Th°  Dynamo; 
its  Theory,  Design  and  Manufacture.  190 'illustra- 
ti.ns,  12mo,  cloth 3  00 

HAY  (ALFRED).  Principles  of  Alternate-Current 
Working  12mo,  cloth,  iliustra  ed ...  200 

HEAP  (Major  I>.  P.,  U.  S.  A.).  Electrical  Appliances 
of  th«  Present  Day.  Report  <  f  the  Paris  Electrical 
Exposition  of  1881  250  illustrations.  8vo,  cloth 200 

HEAVISIDE  (OLIVER).  Elect  -©magnetic  Theory. 

8vo,  c  otn,  two  volumes  «•  aca 5  00 

HENRICI  (OLAUS).  Skeleton  Structures.  Applied 
to  ihe  Building  of  S  eel  and  Iron  Bi  idges.  Illustrated  1  50 

HERRMANN  (GUSTAV).  The  Graphical  Statics  of 
M  chanism.  A  Guide  for  t  e  Use  of  Machinists, 
Archil ec  s,  and  Engineers;  and  also  a  Tex  -book  for 
Technical  Schools.  Transl  «ted  a  d  annotated  by  A. 
P.  Smith,  M.  E.  12  r  o,  cloth,  7  folding  plates.  Third 
Edition 200 

HERMANN  (FELIX).  Painting  on  Glass  and  Porce- 
lai  i  *nd  Enamel  Pai  -'ing.  On  the  Basis  «  f  Peisonal 
Practical  Expe  ience  f  the  *  ondition  of  the  Art  up 
to  date  Translated  by  Charles  Salter.  Second 
greatly  enlarged  edition.  8vo,  clo  h,  Illustrations, 
net 350 

HEWSON  (WM.).  Princples  and  Pmc  i-e  of  Em- 
banki  g  L  nds  f  <~m  River  Floods,  as  applied  o  the 
Levees  of  the  Mississi  pi.  8vo,  cloth 2  00 

HILL  (JOHN  TV.).  Th- Purification  of  Public  Water 
Supplies.  Illustrat  d  with  VH  liable  Tables,  Dia- 
grams and  Cuts  8vo,  clot  o,  304  pa^es 300 

The  Inter;  retatr  n  of  Water  Analyses. .(In  Press) 


SCIENTIFIC    PUBLICATIONS.  IJ 

HOBBS  (W.  R.  P.).  The  Arithmetic  of  Electrical 
Measur.  ments  with  numerous  examples.  Fully 
Worked,  12mo,  cloth . 50 

HOFF  (WM.  B.,  Com.  TJ.  S.  Navy.)-  The  Avoidance 
of  Collisions  at  Sea.  18mo,  morocco 75 

HOLLEY  (ALEXANDER  I,.).  Railway  Practice. 
American  and  European  Railway  practice  in  the 
Economical  Generation  of  Steam.  77  lithographed 
plates.  Folio,  cloth 12  00 

HOLMES  (A.  BROMLEY).  The  Electric  Light  Pop- 
ularJy  Explained.  Fifth  Edition .  Illustrated.  12mo, 
paper .40 

HOPKINS  (NEVIL  M.).  Model  Engines  and  small 
Boats.  New  Methods  of  Engine  and  Boiler  Making 
with  a  chapter  on  Elementary  Ship  Design  and 
Construction .  12mo,  cloth 1  25 

HOSPITALIER  (E.).  Polyphased  Alternating  Cur- 
rents. Illustrated.  8vo,  cloth 1  40 

HOWARD  (C.  R.).  Earthwork  Mensuration  on  the 
Basis  of  the  Prismoidal  Formulae.  Containing 
Simple  and  Labor-saving  Methods  of  obtaining  Pris- 
moidal Contents  directly  from  End  Areas.  Illustra- 
ted by  Examples  and  accompained  by  Plain  Rules 
for  Practical  Uses.  Illustrated.  8vo,  cloth 150 

HUMBER  (WILLIAM,  C.  E.).  A  Handy  Book  for 
the  Calculation  of  Strains  in  Girders  and  Similar 
Structures,  and  their  Strength ;  Consisting  of 
Formulae  and  Corresponding  Diagrams,  with 
numerous  details  for  practical  application,  etc. 
Fourth  Edition.  12mo,  cloth 2  50 

HURST  (GEORGE  H.).  Colour;  A  Hand-book  of  the 
Theory  of  Colour.  Containing  ten  coloured  plates 
and  72  diagrams.  8vo,  cloth.  Illustrated.  Price 250 

Lubricating  Oils,  Fats  and  Greases.    Their  Origin, 

Preparation,   Properties,    Uses    and   Analysis.  313 
pages,  with  65  illustrations.    8vo,  cloth 3  00 


-  Soaps;  A  Practical  Manual  of  the  Manufacture  of 


Domestic,  Toilet  a  nd  other  Soaps.    Illustrated  with 

66  Engravings.     8vo,  cloth 5  00 


IS  D.    VAN    NOSTRAND    COMPANY'S 

HUTCHINSON  CW.  B.).  Patents  and  How  to  Make 
Mo  ey  out  of  Them.  Member  of  NewY*_rkBar. 
12mo,  cloth.  New  York,  1899  125 

HUTTON  (W.  S.).  Steam  Boiler  Construction.  A 
Practical  Hand-book  for  Engineers,  Boiler  Makers 
and  Steam  Users.  Containing  a  large  collection 
of  rules  and  data  relating  to  recent  practice  in  the 
design,  construction,  and  working  of  all  kinds  of 
stationary,  locomotive  and  marine  steam  boilers. 
With  upwards  of  500  illustrations.  Third  edition. 
Carefully  revised  and  much  enlarged.  8vo,  cloth. . .  6  00 

Practica    Engineer's    Hand-book,  Comprising:  a 

treatise  on  Modern  Engines  and  Boilers,  Marine, 
Locomotive  and  Stationary.  Fourth  edition.  Care- 
fully revised  with  additions.  With  upwards  of  570 
illustrations.  8vo,  cloth 7  00 

The  Works1    Manager's   Hand-book   of  Modern 

Rules,  Tables,  and  ]>ata  for  Civil  and  Mechanical 
Engineers.  Millwrights  and  Boiler  Makers,  etc.,  etc. 
Wiih  upwards  of  150  illustrations.  Fifth  edition. 
Carefully  revised,  with  additions.  8vo,  cloth 6  00 

INNES  (CHARGES  H.%  Problems  in  Machine  Design. 
For  the  Use  of  Students,  Draughtsmen  and  others. 
12mo,  cloth 1  50 

Centrifugal  Pumps,  Turbines  and  Water  Motors. 

Including  the  Theory  and  Practice  of  Hydraulics 
12mo,  cloth 1  50 

ISHERWOOD  (B.  F.).  Engineering  Precedents  for 
Steam  Machinery.  Arranged  in  the  most  practical 
and  useful  manner  for  Engineers.  With  illustra- 
tions. 2  vols.  in  1.  8vo,  cloth 2  50 

JAMESON  (CHATCI/ES  D.).    Portland  Cement.    Its 

Manufacture  and  Use.     8vo,  cloth ]  50 

JAMIESON  (ANDREW  C.  E.).  A  Text-Book  on 
Steam  and  Steam  Engines.  Specially  arranged  for 
the  use  of  Science  and  Art,  City  and  Guilds  of  London 
Institute,  and  other  Engineering  students.  Tenth 
edition.  Illustrated.  12mo,  cloth 3  00 

Elementary  Manual  on    Steam   and  the  Steam 

Engine.  Specially  arranged  for  the  use  of  First- 
Year  Science  and  Art,  City  and  Guilds  of  London 
Institute,  and  other  Elementary  Engineering 
Students.  Third  edition.  32mo,  cloth 140 


SCIENTIFIC   PUBLICATIONS.  1 9 

JANNETTAZ  (EDWARD).  A  Guide  to  the  Deter- 
mination of  Rocks :  being  an  Introduction  to 
Lithology.  Translated  from  the  French  by  G  W. 
Plympton,  Professor  of  Physical  Science  at  Brook- 
lyn Polytechnic  Institute.  12mo,  cloth 1  50 

JOHNSTON,  Prof.  J.  F.  W.,  and  CAMERON,  Sir 
CHAS.  Elements  of  Agricultural  Chemistry  and 
Geology.  Seventeenth  edition.  12mo,  cloth 2  60 

JQYNSON  (F.  H.).  The  Metals  used  in  Construction. 
Iron,  Steel,  Bessemer  Metal,  etc.  Illustrated.  12mo, 
cloth 75 

Designing  and  Construction  of  Machine  Gearing. 

Illustrated.  8vo,  cloth 2  00 

KANSAS  CITY  BRIDGE  (THE.)  With  an  Account 
of  the  Regimen  of  the  Missouri  River  and  a  Descrip- 
tion of  the  Methods  used  for  Founding  in  that  River. 
By  O.  Chanute,  Chief  Engineer,  and  George  Morri- 
son, Assistant  Engineer.  Illustrated  with  5  litho- 
graphic views  and  12  plates  of  plans.  4to,  cloth. . .  6  00 

KAPP  (GTSBERT  C.  E.).  Electric  Transmission 
of  Energy  and  its  Transformation,  Subdivision,  and 
Distribution.  A  Practical  Hand-book.  Fourth 
edition,  revised.  12mo,  cloth 3  50 


-  Dynamos,   Alternators  and   Transformers.     138 


•Illustrations.    12mo,  cloth 4  00 

KEMPE  (H.  R.).  The  Electrical  Engineer's  Pocket- 
Book  of  Mode»n  Rules,  Formulae,  Tables  and  Data. 
Illustrated.  32mo,  mor.  gilt 1  75 

KENNEIXY  (A.  E.).  Theoretical  Elements  of  Elec- 
tro Dynamic  Machinery.  8vo,  cloth 1  50 

KILGOUR,  M.  H.,  SWAN,  H.,  and  BIGGS,  C.  H. 

W.  Electrical  Distribution;  its  Tneory  and  Practice. 
174  Illustrations.    12mo,  cloth 4  00 

KING  (W.  H.).  Lessons  and  Practical  Notes  on 
Steam.  The  Steam  Engine,  Propellers,  etc.,  for 
Young  Marine  Engineers,  Students,  and  others. 
Revised  by  Chief  Engineer  J.  W.  King,  TJi  it  ed  States 
Navy.  Nineteenth  edition,  enlarged.  8vo,  cloth  ..  200 

KINGDON  (J.  A.).  Applied  Magnetism.  An  intro- 
duction to  the  Design  of  Electromagnetic  Apparatus. 
8vo,cloth 300 


20  D.    VAN   NOSTRAND   COMPANY'S 

KIRKALDY  (WM.  G.).  Illustrations  of  David  Kirk- 
aldy's  System  of  Mechanical  Testing,  as  Grig  nated 
and  Carried  On  by  him  during  a  Quar  ter  of  a  Century. 
Comprising  a  Large  Selection  of  Tabulated  Results, 
showing  the  Strength  and  other  Properties  of  Mate- 
rials used  in  Construction  with  explanatory  Text 
and  Historical  Sketch.  Numerous  engravings  and 
25  lithographed  plates.  4to,  cloth 20  00 

KIRKWOOD  (JAS.  P.).  Report  on  the  Filtration  9f 
River  Wa1  ers  for  the  supply  of  Cities,  as  practised  in 
Europe,  made  to  the  Board  of  Water  Commissioners 
of  the  City  of  St.  Louis.  Illustrated  by  30  double- 
plate  engravings.  4to,  cloth. 7  50 

LARRABEE  (C.  S.).  Cipher  and  Secret  Letter  and 
Telegraphic  Cod^,  with  Hog's  Improvements.  The 
most  perft-ct  Secret  Code  ever  invented  or  discov- 
ered. Impossible  to  read  without  the  key.  18mo, 
cloth 60 

L,AZE:L:LE  (H.  M.).  One  Law  in  Nature.  A  New 
Corpuscular  Theory  comprehending  Unity  of  Force, 
Identity  of  Matter,  and  its  Multiple  Atom  Constitu- 
tion, etc.  12mo,  cloth 1  50 

L.EASK  (A.  RITCHIE).  Breakdowns  at  Sea  and 
How  to  Repair  Them.  With  eighty-nine  Illustra- 
tions. 8vo,  cloth.  Second  edition 2  00 

Triple  and  Quadruple    Expansion    Engines  and 

Boilers   and   their   Management.     With   fifty-nine 
illustrations.    Third  edition,  revised.    12mo,  cloth. .  2  00 

Refrigerating    Machinery :   Its    Principles   and 

Management.    With  sixty-four  illustrations.    12mo, 
cloth 200 

LECKY  (S.  T.  S.).  "  Wrinkles  "  in  Practical  Naviga- 
tion. With  130  illustrations.  8vo,  cloth.  Ninth 
edition,  revised 8  40 

LEVY  (C.  !L.).  Electric  Light  Primer.  A  Simple  and 
Comprehensive  Digest  of  all  of  the  most  important 
facts  connected  with  the  running  of  the  dynamo,  and 
electric  lights,  with  precautions  for  safety.  For  the 
use  of  persons  whose  duty  it  is  to  look  after  the 
plant  Svo,  paper , 50 


SCIENTIFIC   PUBLICATIONS.  21 

UVACHE   (ACH.,    Iiigenieur  Civil  Des   Mines). 

The  Manufacture  of  Varnishes,  Oil  Crushing,  Refin- 
ing and  Boiling  and  Kindred  Industries.  Translated 
from  the  French  and  greatly  extended,  by  John 
Geddes  Mclntosh.  8vo,  cloth.  Illustrated  .......  net  5  00 

LOCKE  (ALFRED  G.,  and  CHARLES  G.)  A  Prac- 
tical Treatise  on  the  Manufacture  of  Sulphuric  Acid. 
With  77  Constructive  Plates  drawn  to  fcale  Meas- 
urements, and  other  Illustrations.  Royal  8vo,  cloth.  10  00 

LOCKEBT   (LOUIS).    Petroleum  Motor-Cars.  12mo, 

cloth  ..............................................  150 

LOCKWOOD  (THOS.  D.).  Electricity,  Magnetism, 
and  Electro-Telegraphy.  A  Practical  Guide  for 
htudents,  Operators,  and  Inspectors.  8vo,  cloth. 
Thirdedition  .......................................  250 

-  Electrical  Measurement  and  the  Galvanometer  ; 
its  Construction  and  Uses.  Second  edition.  32  illus- 
trations. 12uio,  cloth  ..............................  1  50 

LODGE  (OLIVER  J.).  Elementary  Mechanics, 
including  Hydrostatics  and  Pneumatics.  Revised 
edition.  12mo,  cloth  ................................  1  50 

LORING  (A.  E.).    A  Hand-book  of  the  Electro-Mag- 

netic Telegraph.    Paper  boards  .....................      50 

Cloth.  ............  ...................  .   .      75 

Morocco  ..............................................  1  00 


LUCE  (Com.  S.  B.).  Text-Book  of  Seamanship.  The 
Equipping  and  Handling  of  Vessels  under  Sail  or 
Steam.  For  the  use  of  the  U.  S.  Naval  Academy. 
Revised  and  enlarged  edition,  by  Lt.  Wm.  S.  Benson. 
8vo,  cloth  ..........................................  1000 

LUNGE  (GEO.).  A  Theoretical  and  Practical  Treatise 
on  the  Manufacture  of  Sulphuric  Acid  and  Alkali 
with  the  Collateral  Branches.    Vol.  I.     Sulphuric 
Acid,     Second  edition,  revised  and  enlarged.     342 
illustrations.    8vo,  cloth  .........................  1500 

Vol.    II.     Second  edition,   revised  and  enlarged. 
8vo,  cloth  .........................................  .  .  .16  80 

Vol  III.    8vo,  cloth.    New  edition,  1896  ....  .........  15  00 

LUNGE.  (GEO.),  and  HURTER,  F.  The  Alkali 
Maker's  Pocket-Book.  Tables  and  Analytical  Meth- 
ods for  Manufacturers  of  Sulphuric  Acid,  Nitric 
Acid,  Soda,  Potash  and  Ammonia.  Second  edition. 
12mo,  cloth  ...............  .......................  3  00 


22  D.    VAN   NOSTRAND    COMPANY'S 

LUQUER  (I/EA  Mci:LVAINE,  Ph.  D.).  Minerals 
in  Rock  sections.  The  Practical  Method  of  Identi- 
fying Mineials  in  Rock  Sections  with  the  micro- 
scope, Especially  a  rranged  for  students  in  Technical 
and  Scientific  {Schools.  8vo.  cloth.  Illustrated.. net  1  50 

MACCORD  (Prof.  C.  W.).  A  Practical  Treatise  on 
the  Slide-Valve  by  Eccentrics,  examining  by  methods 
the  action  of  the  Eccentric  upon  the  Slide- Valve, 
and  explaining  the  practical  processes  of  laying  out 
the  movements  adapting  the  Valve  for  its  various 
duties  in  the  Steam  Engine.  Second  edition.  Illus- 
trated. 4to,  cloth 2  50 

MAGUIRE  (Capt.  EDWARD.  U.  S.  A.).  The 
Attack  and  Defence  of  Coast  Fortifications.  With 
Maps  and  Numerous  Illustrations.  8vo,  cloth 2  50 

MAGUIRE  (WM.  R.).  Domestic  Sanitary  Drainage 
and  Plumbing  Lectures  on  Practical  Sanitation.  332 
illustrations.  8vo 4  00 

MARKS  (EDWARD  C.  R.).  Mechanical  Engineering 
Materials:  their  Properties  and  Treatment  in  Con- 
struction. 12mo,  cloth.  Illustrated 60 

Notes  on  the  Construction  of  Cranes  and  Lifting 

Machinery.    12mo,  cloth , . 1  00 

MARKS  (G.  C.).  Hydraulic  Machinery  Employed  in 
the  Concentration  and  Transmission  of  Power. 
12ri)o,  cloth ..  1  25 

MAVER   (WM.).     American   Telegraphy:    Systems 

Apparatus,  Operation.   450  illustrations.  8vo,  cloth.  3  50 

MAYER  (Prof.  A.  M.).    Lecture  Notes  on  Physics. 

8vo,  cloth 2  00 

McCUULOCH  (Prof.  R.  S,).  Elementary  Treatise 
on  the  Mechanical  Theory  of  Heat,  and  its  applica- 
tion to  Air  and  Steam  Engines.  8vo,  cloth 3  50 

McNEII/L  (BEDFORD).  MoNeill's  Code.  Arranged 
to  meet  the  requirements  of  Mining,  Metallurgical 
and  Civil  Engineers,  Directors  of  Mining,  Smelt- 
ing and  other  Companies,  Hankers,  Sroc  c  and  Share 
Brokers,  Solicitors,  Accountants,  Financiers,  and 
General  Merchants.  Safety  and  Secrecy.  8vo,  cloth.  6  00 


SCIENTIFIC   PUBLICATIONS.  23 

MERRILL  (Col.  WM.  E.,  U.  S.  A.).  Iron  Truss 
Bridges  for-  Railroads  The  method  of  ca.cul  ting 
strain-*  in  Trusses,  with  a  careful  compar  son  of  the 
mo  t  pr  mine  t  Trusses,  in  reference  t  economy  in 
combi  aiion,  •  tc.  Illustrated.  4to,  cloth.  Fourth 
Editi  n  ..  500 

METAL  TURNING.  By  a  Foreman  Pattern  Maker. 

Illustrated  *  iih  81  *  ngravi  gs.  12mo,  cloth 1  50 

MINIFIE  (WM.).  Mechanical  D  awing.  A  Text- 
bo  k  f  Geometrical  Draw  ng  for  the  uue  of  Mechanics 
and  Schools,  in  which  he  Definitions  and  Rules  of 
Geo'^try  re  fami  iarly  explained;  the  Practical 
Problems  are  arranged  from  tne  most  simple  to  the 
mor^  complex,  and  in  i  heir  description  technicalities 
are  avoid  das  nut  h  as  possible.  With  illustration** 
for  Dr  iw  ng  PI  ns  Sec  >ons  and  Elevations  of  Rail- 
wax  s  an  1  Machinery;  an  Introduction  to  Isometric  1 
Drawi  ir,  a  d  an  Essay  on  Linea  Perspective  a  d 
Shadows  Illustrated  wit  •  over  200  diagram* 
engraved  on  ster  1.  Ninth  t  >  ousand.  With  a  appen- 
rix  on  the  Theory  and  A  plication  of  Colors.  8vo, 
clota 4  00 


-  Geom  trical  Drawing.  Abridged  from  the  Octavo 


•  dition,  for  the  us    of  schools.    Illus  rate  i  witti  48 
steel  plates.    Niuth  edition.    12mo,  cloth 2  00 

MODERN  METEOROLOGY.  A  Series  of  Six 
Lectu  es,  d  livered  under  theaus  ices  of  the  Meteor- 
ological Society  in  1870.  Illustrated.  12mo,  cloth  .  1  50 

MOREING  (C.  A.),  and  NEAL  (THOMAS).    Te  e- 

graphic    Mining    Co  e    Alphabetically    arranged. 
Second  edition.    8vo,  cloth 8  40 

MORRIS  (E.).  Easy  Rules  for  the  Measurement  of 
Earthworks  by  means  »  f  the  PrisrLoidal  Formula. 
8vo,  cloth.  Illustrated 150 

MOSES  (ALFRED  J.),  and  PARSONS,  C.  L.  Ele- 
ments of  Minera  ogy.  Crystallography  and  Blowpipe 
Analysis  from  a  practical  standpoint.  Second 
thousand.  8vo,  cloth.  366  illustrations net  2  00 

MOSES  (ALFRED  J.).  The  Characters  of  Crystals. 
An  Introduction  to  Physical  Crystallography,  co  - 
taining  321  Illustrations  and  Diagrams.  8vo,  211 
pp net  2  00 


24  D.    VAN    NOSTRAND    COMPANY'S 

MOELtER  (F.  C.  G.)«  Krupp's  Steel  Works.  With 
88  illustrations.  By  Felix  Schmidt  and  Montan. 
Authorized  Translation  from  the  Ge  man.  4to, 
cloth (In  Press.) 

MUIXIN  (JOSEPH  P.,  M.  E.).  Modern  Moulding 
a' >d  Pattern  Making.  A  Practical  Treatise  upon 
Pa' tern  Shop  and  Foundry  Work;  em  racing  the 
Moulding  of  Pulleys,  Spur  Gears,  Worm  Gears,  Bal- 
ance-Wheels, Stationary  Engine  and  Locomotive 
Cylind  rs.  Globe  Valves,  Tool  Work,  Mining  Machin- 
ery, Screw  Propellers.  Pattern- Shop  Machinery,  and 
the  latest  improvements  in  English  and  American 
Cupolas;  together  with  a  large  collection  of  original 
and  carefully  selected  Rules  and  Tables  for  every- 
day use  in  the  Drawing  Office,  Pattern-Shop  and 
Foundry,  l^mo,  cloth.  Illustrated 2  50 

MUNRO       (JOHN     C.       E.),      and      JAMIESON 

AM>BEW  C.  E.  A  Pocket-book  of  Electrical 
Rules  and  Tables  for  the  use  of  Electricians  and 
Engineers.  Thirteenth  edition,  revised  and  enlarged. 
With  numerous  a iagrams.  Pocket  size.  Leather..  250 

MURPHY  (J.  G.,  M.  E.).  Practical  Mining.  A 
Field  Manual  for  Mining  Engineers.  With  Hints  for 
Investors  in  Mining  Properties.  16mo,  morocco 
tucks  1  00 

NAQUET  (A.).  Legal  Chemistry.  A  Guide  to  the 
Detection  of  Poisons,  Falsification  of  Writings, 
Adulteration  of  Alimentary  and  Pharmaceutical 
Substances,  Analysis  of  Ashes,  and  examination  of 
Hair.  Coins,  Arms,  and  Stains,  as  applied  to  Chemi- 
cal Jurisprudence.  Translated  from  the  French, 
by  J.  P.  Battershall,  Ph  D.,  with  a  preface  by  C.  F. 
Chandler,  Ph.  D.,  M.  D.,  LL.  D.  1^'mo,  cloth 2  Oj 

NASMITH  (JOSEPH).  The  Student's  Cotton  Spin- 
ning.  Third  edition,  revised  and  enlarged.  8vo, 
cloth.  62Si  pages.  250  Illustrations 3  00 

NEWAL.L,  (JOHN  W.).  Plain  Practical  Directions 
for  Drawing,  Sizing  and  Cutting  Bevel- Gears,  show- 
ing how  the  Teeth  may  be  cut  in  a  Plain  Milling 
Machine  or  Gear  Cutter  so  as  to  give  them  a  correct 
shape  f  com  end  to  end;  and  showing  how  to  get  out 
all  particulars  for  the  Workshop  without  making 
any  Drawings.  Including  a  Full  Set  of  Tables  of 
Reference.  Folding  plates,  bvo,  do  h.  . 1  50 


SCIENTIFIC   PUBLICATIONS.  25 

NEW<  OMB  (EDWARD  W.).  Stepping  Stones  to 
Photography.  12mo,  cloth.  Illustrated.  N.Y  1899. 

(In  Press.) 

NEWLANDS  (JAMES).  The  Carpenters1  and  Join 
ers'  Assistant:  being  a  Comprehensive  Treatise  on 
the  Selection,  Preparation  and  Strength  of  Mate- 
rials, and  the  Mechanical  Principles  of  Framing. 
Illustrated.  Folio,  half  morocco 15  00 

NIPHER  (FRANCIS  E.,  A.  M.).  Theory  of  Mag- 
netic Measurements,  with  an  appendix  on  the 
Method  of  Least  Squares.  12mo,  cloth  —  1  00 

-,v>^LD  (HENRY  M.).  The  Students'  Text-Book  of 
Electricity.  A  new  edition,  carefully  revised.  With 
an  Introduction  and  additional  chapters  by  W.  H. 
Preece.  With  471  illustrations.  12mo,  cloth 4  00 

NUGENT  (E.).  Treatise  on  Optics;  or,  Light  and  Sight 
theoretically  and  practically  treated,  with  the  appli- 
cation to  Fine  Art  and  Industrial  Pursuits.  With 
303  illustrations.  12mo,  cloth.  1  50 

O'CONNOR  (HENRY).  The  Gas  Engineer's  Pocket- 
Book.  Comprising  Tables,  Notes  and  Memoranda; 
relating  to  the  Manufacture,  Distribut  on  ard  Use 
of  Coal  Gas  and  the  Construction  of  Gas  Works. 
12mo,  full  leather,  gilt  edges 3  50 

OUDIN  (M.  A.).  Standard  Polyphase  Apparatus  and 
Systems.  Fully  illustrated  3  00 

PAOE  (DAVID).  The  Earth's  Crust,  A  Handy  Out- 
line of  Geology.  16mo,  cloth 75 

PAI.AZ  (A.,  ScD.).  A  Treatise  on  Industrial  Pho- 
tometry, with  special  application  to  Electric  Light- 
ing. Authorized  translation  from  the  French,  by 
George  W.  Patterson,  Jr.  Second  edition,  revised. 
8vo,  cloth.  Illustrated 400 

PARSHALI,  (H.  F.),  and  HOBART  H.  M. 
Armature  Windings  of  Electric  Machines.  With  140 
full  page  plates,  65  tables,  and  165  pages  of  descrip- 
tive letter-press.  4to,  cloth -  .  750 

PAKSHAIX  (H.  F.),  and  EVAN  PARR£. 
Electrical  Equipment  of  Tramways (In  Press.) 

PEIRCE  (B.).  System  of  Analytic  Mechanics.  4to, 

cloth  1000 

Linear  Associative  Algebra.  New  edition,  with 

addenda  and  notes,  by  C.  L.  Pierce.  4to,  cloth 4  00 


26  D.    VAN   NOSTRAND   COMPANY'S 

PERKINE  (F.  A.  C.,  A.  M.,  D.  Sc.^  Conductors 
for  Electrical  Distribution;  their  Manufacture  and 
Materials,  the  Calculation  of  Circuits.  Pole  Line 
Construction,  Underground  Working  and  other  Uses. 

(In  Press.) 

PERRY  (JOHN).  Applied  Mechanics.  A  Treatise 
for  the  use  of  students  who  have  time  to  work 
experimental,  numerical  and  graphical  exercises 
illustrating  the  subject.  8vo,  cloth.  650  pages., net  2  50 

PHIIXIP3  (JOSHUA).  Engineering  Chemistry.  A 
Practical  Treatise  f-  r  the  use  of  Analytical  Chem- 
ists, Engineers,  Iron  Masters,  Iron  Founders, 
students  and  others.  Comprising  methods  of  Analy- 
sis and  Valuation  of  the  principal  materials  used  in 
Engineering  works,  with  numerous  Analyses,  Exam- 
ples and  Suggestions.  314  illustrations.  Second 
edition,  revised  and  enlarged.  8vo,  cloth 4  00 

PICKWORTH  (CHAS.  N.).  The  Indicator  Hand- 
book. A  Practical  Manual  for  Engineers.  Part  I. 
Thelndica  or:  Its  Construction  and  Application.  81 
illustrations.  12mo,  cloth 1  50 


-  The  Slide  Rule.     A  Practical  Manual  of  Instruc- 


tion for  all  Users  of  the  Modern  Type  of  Slide  Rule, 
exhibiting  the  App  ication  of  the  Instrument  to  the 
Everyday  Work  of  the  Engineer,-  Civil,  Mechanical 
and  Electrical.  12mo,  flexible  cloth.  Fifth  edition.  80 

PLANE  TABLE  (THE).  Its  Uses  in  Topographical 
Surveying.  From  the  Papei  s  of  the  United  States 
Coast  Survey.  Illustrated.  8vo,  cloth 2  00 

PLANTE  (GASTON).  The  Storage  of  Electrical 
Energy,  and  Researches  in  the  Effects  created  by 
Currents,  combining  Quantity  wiih  High  Tension. 
Translated  from  the  French  by  Paul  B.  Elwell.  89 
illustrations.  8vo 4  00 

PL.ATTNER.  Manual  of  Qualitative  and  Quantitative 
Analysis  with  the  Blow  Pipe.  From  the  last  German 
edition,  revised  >  nd  enlarged,  by  Prof.  Th.  Richter, 
of  the  Royal  Saxon  Mining  Academy.  Translated 
by  Prof.  H.  B.  Cornwall,  assisted  by  John  H.  Cas- 
well.  Illustrated  uith  87  woodcuts  and  one  litho- 
graphic plate.  Seventh  edition,  revised.  5t>u  pages, 
bvo,  cloth , ..,..» 500 


SCIENTIFIC  PUBLICATIONS.  27 

PI/FMPTON  (Prof.  GFQ.  W.).  The  Blow  Pipe.  A 
Guide  to  its  use  in  the  Determination  of  Salts  and 
Minerals.  Compiled  from  various  sources.  12mo, 
cloth 150 

The   Aneroid   Barometer:  its  Construction   and 

Use.      Compiled    from    several   sources.     Fourth 

edition.    16mo,  boards.    Illustrated 50 

Morocco.     100 

POCKET  LOGARITHMS,  to  Four  Places  of  Deci- 
mals, in  lulling  Logarithms  of  Numbers,  and  Loga- 
rithmic Sines  and  Tangents  to  Single  Minutes.  To 
which  is  added  a  Table  of  Natural  Sines,  Tangents, 
and  Co-Tangents.  16mo,  boards.  50 

POPE  (F.  I,.).  Modern  Practice  of  the  Electric  Tele- 
graph. A  Technical  Handbook  for  Electricians, 
Managers  and  Operators.  Fifteenth  edition,  rewrit- 
ten and  enlarged,  and  fully  illustrated.  8vo,  cloth.  1  50 

POPPL.EWEUL  (W.  C.).  Elementary  Treatise  on 
Heat  and  Heat  Engines.  Special  y  adapted  for 
engineers  and  students  of  engineering,  l^mo,  cloth. 
Illustrated 3  00 

PO WUES  (H.  H.).    Steam  Boilers (In  Press.) 

PRAY  (Jr.,  THOMAS).  Twenty  Years  with  the 
Indicator;  being  a  Practical  Text  Book  for  the 
Engineer  or  the  Student,  with  no  complex  Formulae. 
Illustrated.  8vo,  cloth 250 

Steam  Tables  and  Engine  Constant.    Compiled 

from  Regnault,  Rankineand  Dixon  directly,  making 
use  of  the  exact  records.     8vo,  cloth 2  00 

PRACTICAL  IRON  FOUNDING.  By  the  Author 
of  "Pattern  Making,"  &c  ,  &c.  Illustrated  with 
over  one  hundred  engravings.  12mo,  cloth 1  50 

PREECE  (W.  H.).    Electric  Lamps  (In  Press.) 

PREECE  (W.  H.),  and  STUBBS,  A.  T.  Manual 
of  Telephony.  Illustrations  and  plates.  12mo,  cloth.  4  50 

PREMIER  CODE.    (See  Hawk,  Wm.  H.) 

PRESCOTT  (Prof.  A.  B.).  Organic  Analysis.  A 
Manual  of  the  Descriptive  and  ualytical  (.'hemistry 
of  certain  Carbon  Coin  pounds  in  Common  Use:  a 
Guide  in  the  Qualitative  and  Qu;mtitative  Ans'vsis 
of  Organic  Materials  in  Commercial  and 


28  D.   VAN  NOSTRAND  COMPANY'S 

ceutical  Assays,  in  the  estimation  of  Impurities 
under  Authorized  Standards,  and  in  Forensic  Exam- 
inations for  Poisons,  with  Directions  for  Elementary 
Organic  Analy&is.  Fourth  edition.  8vo,  cloth 5  00 

PRESCOTT  (Prof.  A.  B.).  Outlines  of  Proximate 
Organic  Analysis,  for  the  Identification,  Separation, 
and  Quantitative  Determination  of  the  more  com- 
monly occurring  Organic  Compounds.  Fourth  edi- 
tion. Itfmo,  cloth , 1  75 

First   Book  in  Qualitative  Chemistry.     Eighth 

edition,    12mo,  cloth 150 

and  Otis  Coe  Johnson.  Qualitative  Chem  cal 

Analysis.  A  Guide  in  the  Practical  Study  of  Chem- 
istry and  in  the  work  of  Analysis.  Fourth  fully 
revised  edition.  With  Descriptive  Chemistry 
extended  throughout 3  50 

PBITCHABD  (O.  G.).  The  Manufacture  of  Electric 
Light  Carbons.  Illustrated.  8vo,  paper  60 

PUIXEN  (W.  W.  F.).  Application  of  Graphic  Meth- 
ods to  the  Design  of  Structures.  Specially  prepared 
for  the  use  of  Engineers.  12mo,  cloth.  Illustrated. 

net  2  50 

PULSIFEB  (W.  H.).  Notes  for  a  History  of  Lead. 

bvo,  cloth,  gilt  tops 4  00 

PYNCHON  (Prof.  T.  B.).  Introduction  to  Chemical 
Physics,  designed  for  the  use  of  Academies,  Col- 
leges, and  High  Schools.  Illustrated  with  numerous 
engravings,  and  containing  copious  experiments 
with  directions  for  preparing  them.  New  edition, 
revised  and  enlarged,  and  illustrated  by  269  illustra- 
tions on  wood.  8vo,  cloth 3  00 

BAI>FOBD  (Lieut.  CYBUS  S.).  Hand-book  on 
Naval  Gunnery.  Prepared  by  Authority  of  the  Navy 
Department.  For  the  use  of  U.  S.  Navy,  U.  S. 
Marine  Corps  and  U.  S.  Naval  Reserves.  Revised 
and  enlarged,  with  the  assistance  of  Stokely  Morgan, 
Lieut.  U.  S.  N  Third  edition.  12mo,  flexible  leather.  2  00 

BAFTEB  (GEO.  TV.),  and  M.  N.  BAKEB.  Sew- 
age Disposal  in  the  United  States.  Illustrations  and 
folding  plates.  Second  edition.  8vo,  cloth 6  00 

BAM  (GIL.BEBT  S.).  The  Incandescent  Lamp  and 
its  Manufacture,  8vo,  cloth 300 


SCIENTIFIC  PUBLICATIONS. 


RANDALL  (J.  E.).  A  Practical  Treatise  on  the 
Incandescent  Lamp.  Illusti  ated.  16mo,  cloth  .....  50 

RANDALL  (P.  M  .).  Quartz  Operator's  Hand-book. 
New  edition,  revised  and  enlarged,  fully  illustrated. 
12mo,  cloth  .......................................  200 

RANKINE  (W.  J.  MACQUORN.)  Applied  Mechan- 
ics. Comprising  the  Principles  of  Statics  and  Cine- 
matics, and  Theory  of  Structures.  Mechanism,  and 
Machines.  With  numerous  diagrams.  Fifteenth 
edition.  Thoroughly  revised  by  W.  J.  Millar.  8vo, 
cloth  .............................  .  ..........  500 

-  Civil  Engineering.    Comprising  Engineering  Sur- 
veys, Earthwork,  Foundations,  Masonry,  Carpentry, 
Metal  Work,     Roads,     Railways,     Canals    Rivers, 
Water  Works,  Harbors,  etc.    With  numerous  tables 
and  illustrations.    Twentieth  edition.    Thoroughly 
revised  by  W.  J.  Millar.     8vo,  cloth    ..............  6  50 

-  Machinery  and  Millwork.    Comprising  the  Geom- 
etry, Motions,  Work,  Strength,  Construction,  and 
Objects  of  Machines,  etc.    Illustrated  with  nearly 
300  wood  cuts.   Seventh  edition.  Thoroughly  revised 

by  W.  J.  Millar.    8vo,  cloth  ..........................  5  00 

--  The  Steam  Engine  and  other  Prime  Movers. 
With  diagram  of  the  Mechanical  Properties  of 
Steam-folding  plates,  numerous  tables  and  illustra- 
tions. Thirteenth  edition.  Thoroughly  revised  by 
W.  J.  Millar.  8vo,  cloth  ........................  5  00 

-  Useful    Rules    and    Tables    for  Engineers   and 
Others.    With  appendix,  tables,  tests,  and  formulae 
for  the  u-e  of  Electrical  Engineers.    Comprising 
Submarine  Electrical  Engineering,  Electric  Lighting, 
and  Transmission  of  Power.    By  Andrew  Jamie^-on, 
C.  E.,  F.  R  S.  E.      Seventh   edition      Thoroughly 
revised  by  W.  J.  Millar.     Crown  8vo,  cloth  .......  4  00 


A  Mechanical  Text-Book.     By  Prof.  Macquorn 


Rankine  and  E  F.  Bamber,  C.  E.    With  numerous 
illustrations.    Fourth  edition.    8vo,  cloth 3  50 

RAPH  VF  ;L  (F.  C.).  Localisation  of  Faults  in  Electric 
Light  Mains.    8vo,  cloth 200 

RECKENZAUN  (A.).    Electric  Traction  on  Railways 

and  Tramways.    213  illustrations.    12mo,  cloth 4  00 


$0  D.  VAN  NOSTRAND  COMPANY'S 

REED'S    ENGINEERS'    HAND-BOOK     to     the 

Local  Marine  Board  Examinations  for  Certificates 
of  Competency  as  First  and  Second  Ciass  Engineers. 
By  W.  H.  Thorn.  With  the  answers  to  the  Elemen- 
tary Questions.  Illustrated  by  297  diagrams  and  36 
large  plates.  Sixteenth  edition,  revised  and 
enlarged.  8vo,  cloth 500 


Key    to    the    Sixteenth    Edition    of     Reed's 


Engineer's  Hand-book  to  the  Board  of  Trade  Exami- 
nations for  First  and  Second  Class  Engineers  and 
containing  the  working  of  all  the  questions  given  in 
the  examination  papers.  By  W.  H  Thorn.  8vo, 
cloth 300 


—  Useful  Hints  to  Sea-going  Engineers,  and  How  to 
Repair  and  Avoid  "  Break  Downs;  "  also  Appendices 
Containing  Boiler  Explosions,  Useful  Formulae, 
etc.  With  36  diagrams  and  4  plates.  Second  edition, 
revised  and  enlarged.  12mo,  cloth 140 


-  Marine  Boilers:  A  Treatise  on  the  Causes  and 


Prevention  of  their  Priming,  with  Remarks  on  their 
General  Management.  Illustrated.  12mo,  cloth...  200 

REINHARDT  (CHAS.  W.).  Lettering  for  Drafts- 
men, Engineers  and  Students.  A  Practical  System 
of  Free-hand  Lettering  for  Working  Drawings. 
Fourth  thousand.  Oblong,  boards 1  00 

RICE    (J.    M.).,    and  JOHNSON,  W.  W.     On  a 

New  Method  of  obtaining  the  Differential  of  Func- 
tions, with  especial  reference  to  the  Newtonian 
Conception  of  Rates  or  Velocities.  12mo,  paper —  50 

RINGWAM  (J.  Ii.).  Development  of  Transporta- 
tion Systems  in  the  United  States,  Comprising  a 
Comprehensive  Description  of  the  leading  features 
of  advancement  from  the  colonial  era  to  the  present 
tune.  With  illustrations.  Quarto,  half  morocco ..  7  50 

RIPPER  (WIIXIAM).  A  Course  of  Instruction  in 
Machine  Drawing  and  Desiern  for  Technical  Schools 
and  Engineer  Students.  With  52  plates  and  numer- 
ous explanatory  engravings.  Folio,  cloth 6  00 

ROEBLING  (J.  A.).    Long  and  Short  Span  Railway 


Bridges.        Illustrated    with     large    copperplate 
engravings  of   plans  and   views.    Imperial  folio, 


.25  00 


SCIENTIFIC   PUBLICATIONS.  3! 

ROGERS  (Prof.  H.  D.).  The  Geology  of  Pennsyl- 
vania. A  Government  Survey,  with  a  General  View 
of  the  Geology  of  the  United  States,  essays  on  the 
Coal  Formation  and  its  Fossils,  and  a  description  of 
the  Coal  Fields  of  North  America  and  Great 
Britain.  Illustrated  with  plates  and  engravings  in 
the  text.  3  vols.,  4to,  cloth,  with  portfolio  of  maps.  15  00 

ROSE  (JOSHUA,  M.  E.).  The  Pattern  Makers1 
Assistant.  Embracing  Lathe  Work,  Branch  Work, 
Core  Work,  Sweep  Work,  and  Practical  Gear  Con- 
structions, the  Preparation  and  Use  of  Tools, 
together  with  a  large  collection  of  useful  and  valu- 
able Tables.  Eighteenth  edition.  Illustrated  with 
250  engravings.  8vo,  cloth 2  50 

Key  to  Engines  and  Engine-running.    A  Practical 

Treat  se  upon  the  Management  of  Steam  Engines 
and  Boilers  for  the  Use  of  Those  who  Desire  to  Pass 
an  Examination  to  Take  Charge  of  an  Engine  or 
Boiler.  With  numerous  illustrations,  and  Instruc- 
tions Upon  Engineers'  Calculations,  Indicators, 
Diagrams,  Engine  Adjustments,  and  other  Valuable 
Information  necessary  for  Engineers  and  Firemen. 
12mo,  cloth 2  50 

SABIXE  (ROBERT).  History  and  Progress  of  the 
Electric  Telegraph,  With  descriptions  of  some  of 
the  apparatus.  Second  edition,  with  additions. 
12mo,  cloth 125 

SAELTZER  (ALEX.).  Treatise  on  Acoustics  in  con- 
nection with  Ventilation.  12mo,  cloth 100 

SALOMONS  (Sir  DAVID,  M.  A.).  Electric  Light 
Installations.  A  Practical  Hand-book.  Eighth 
edition,  revised  and  enlarged,  with  numerous  illus- 
trations. Vol.  I.  The  management  of  Accumula- 
tors. I2mo,  cloth.. 150 

Vol.    II.,  Apparatus,  296  illustrations.    12mo,  cloth    2  25 
Vol.  III.,  Applications,     l^rno,  cloth 1  50 

SANFORD  (P.  GERALD).  Nitro-Explosives.  A 
Practical  Treatise  concerning  the  Properties,  Manu- 
facture and  Analysis  of  Nitrated  Substances,  includ- 
ing the  Fulminates,  Smokeless  Powders  and  Cellu- 
loid. 8vo,  clotn,  270  pages 3  00 

SAUNNIER  (CLAUDIUS).  Watchmaker's  Hand- 
book. A  Workshop  Companion  for  those  engaged 


32  D.   VAN  NOSTRAND  COMPANY'S 

in  Watchmaking  and  allied  Mechanical  Arts.  Trans- 
lated by  J.  Tripplin  and  E  Rigg.  Second  edition, 
revised  with  appendix.  12mo,  cloth 3  50 

SCHEIJLEN  (Dr.  H.).  Magneto-Electric  and  Dynamo- 
Electric  Machines:  their  Construction  and  Practical 
Application  to  Electric  Lighting,  and  the  Transmis- 
sion of  Power.  Translai  ed  from  the  third  German 
edi  ion,  by  N.  S.  Keith  and  Percy  Neymann,  Ph.  D. 
With  very  large  additions  and  notes  relating  to 
American  Machines,  by  N.  S.  Keith.  Vol.  I.,  with  353 
illustrations.  Second  edition .  5  00 

SCHUMANN  (F.).  A  Manual  of  Heating  and  Venti- 
lation in  its  Practical  Application,  for  the  use  of 
Engineers  and  Architects.  Embracing  a  series  of 
Tables  and  Formulae  for  dimen.-ions  of  heating,  flow 
and  return  pipes  for  steam  and  hot  water  boilers, 
flues,  etc.  12mo,  illustrated,  full  roan 1  50 

SCRIBNER  (J.  M.).  Enerineprs'  and  Mechanics' 
Companion.  Comprising  United  Stat  es  Weights  and 
Measures.  Mensuration  of  Superfices  and  Solids, 
Tables  of  Squares  and  Cubes,  Square  and  Cubf*  Roots, 
Circumference  and  Areas  of  (.  ircles,  the  Mechanical 
Powers.  Centres  of  Gravity,  Gravitation  of  Bodies, 
Pendulums,  Specific  Gravity  of  Bod  es,  Strength, 
Weight,  and  Crush  of  Ma-erials,  Water-Wheels, 
Hyd  ostatics,  Hydraulics,  Statics,  Centres  of  Per- 
cussion and  Gyration,  Friction  Heat,  Tables  of  the 
Weight  of  Metals,  Scantling,  etc.,  Steam  and  the 
Steam  Engine.  Twentieth  edition  revised.  16mo, 
full  morocco —  1  50 

SEATOX  (A.  E.).  A  Manual  of  Marine  Engineering. 
Comprising  the  Designing,  C  obstruction  and  Work- 
ing of  Marine  Machinery.  With  numerous  tables 
and  illustrations  reduced  from  Working  Drawings. 
Fourteenth  edition.  Revised  throughout,  with  an 
additional  chapter  on  Waier  Tube  Boilers.  8vo., 
cloth 600 


and  BOUNTHWAITE  (  TT.  M.).  A  Pocket- 
book  of  Marine  Engineering  Rules  and  Tables.  For 
the  use  of  Marine  Engineers  and  Naval  Architects, 
Designers,  Draughtsmen,  Superintendents,  and  all 
engaged  in  the  design  and  construction  of  Marine 
Machinery,  Naval  and  Mercantile.  Fifth  edition, 
revised  and  enlarged.  Pocket  size.  Leather,  with 
diagrams.  Reprinting. 


SCIENTIFIC   PUBLICATIONS.  33 

SEXTO  V  (A.   HUMBOLDT).    Fuel  and  Refractory    . 
Materials.    8vo,  cloth...   .........................  200 

SHIELDS  (J.  E.).  Notes  on  Engineering  Construc- 
tion Embracing  Discussions  of  the  Principles 
involved,  and  Descriptions  of  the  Material  employed 
in  Tunnelling,  Bridging,  Canal  and  Road  Building, 
etc.  12mo,  cloth  ....................................  150 

SHOCK  (TVM.  H.).     Steam  Boilers:  ThMr  Lesign, 

Construction  and  Management.    4to,  half  morocco.  15  00 

SHBEVE  (S.  H.).  A  Treatise  on  the  Strength  of 
Bridges  and  Roofs.  Comprising  the  determination 
of  Algebraic  formulas  for  strains  in  Horizontal, 
Inclined  or  Rafter,  Triangular,  Bowstring,  Lenticu- 
lar. and  other  Trusses,  from  fix«-d  and  moving  loads, 
with  practical  applications  and  examples,  for  the 
use  of  Students  and  Engineers.  87  woodcut  illus. 
Fourth  edition.  8vo,  cloth  ..............  ........  350 

SHUNK  (TV.  F.).  The  Field  Engineer.  A  Handy 
Book  of  practice  in  the  Survey,  Location,  and  Truck- 
work  of  Railroads,  containing  a  large  collection  of 
Rules  and  Tables,  original  and  selected,  applicable 
to  both  the  Standard  and  Narrow  Gauge,  and  pre- 
pared with  special  reference  to  the  wants  of  the 
young  Eugine^r.  Eleventh  edition,  revised  and 
enlarged.  12mo,  morocco,  tucks  ....................  2  50 

SIM  "US  (F.  TV.).  A  Treatise  on  the  Principles  and 
Practice  of  Levelling.  Showing  its  application  to 
purposes  of  Railway  Engineering,  and  the  Con- 
struction of  Roads,  etc.  Revised  and  corrected, 
with  the  addition  of  Mr.  Laws'  Practi  al  Examples 
for  setting  cut  Railway  Curves.  Illustrated.  8vo, 
cloth  ................  *  .............................  250 


£IMMS  (TV.  F.).  Practical  Tunnelling.  Fourth  edition, 
reviped  and  greatly  extended.  Wiih  additional 
chapters  illustrating  recent  practice  by  D.  Kinnear 
Clark.  With  36  p  ates  and  other  illustrations.  Im- 
perial 8vo,  cloth  ..................................  .  .  ..12  00 

SLATER  (J.  TV.).  Sewage  Treatment,  Purification, 
and  Utilization.  A  Practical  Manual  for  the  U*e  of 
Corporations,  Local  Boa'ds,  Medical  Officers  of 
Health,  Inspectors  of  Nuisances^  Chemists,  Manu- 
facturers, Riparian  Owners,  Engineers,  and  Rate- 
payers. 12ino,  cloth  ................................  235 


34  !>•    VAN    NOStRAND    COMPANY  S 

SMITH  (ISAAC  W.,  C.  E.).  The  Theory  of  Deflec- 
tions and  of  Latitudes  and  Departures.  With  special 
applications  to  Curvilinear  Surveys,  for  Alignments 
of  Railway  Tracks.  Illustrated.  16mo,  morocco, 
tucks..  ., 300 

SNELL  (ALBION  T.).  Electric  Motive  Power:  The 
Transmission  and  Distribution  of  Electric  Power  by 
Continuous  and  Alternate  Currents  With  a  Section 
on  the  Applications  of  Electricity  to  Mining  V\  ork. 
Second  edition.  8vo,  cloth,  illustrated 4  00 

SPEYERS  (CLARENCE  L.).  Text-Book  of  Physi- 
cal Chemistry.  8vo,  cloth.,  .....225 

STAHL  (A.  W.),  and  A.  T.  WOODS.  Elementary 
Mechanism.  A  Text  Book  for  Students  of  Mechanical 
Engineering.  Fourth  edition,  enlarged.  12mo, 

.      cl-th... 200 

STALEY  (CADY),  and  PIERSON,  GEO.  S.  The 
Separate  System  of  Sewentge:  its  Theory  and  Con- 
struction. Third  edition,  revised.  8vo,  cloth.  With 
maps,  plates  aud  illustrations . .  3  00 

STEVENSON  (DAVID,  F.R.S.N.).  The  Principles 
and  Practice  of  Canal  and  River  Engineering.  Re- 
vised by  his  sons  David  Alan  Stevenson,  B.  JSc.,  F.  R. 
S.E.,  and  Charles  Alexander  Stevenson,  B.  Sc.,  F.R. 
S.E.,  Civil  Engineer.  Th.rd  edition,  with  17  plates, 
8vo,  cloth . . .10  00 

The  Design  and  Construction  of  Harbors,  A 

Treatise  on  Maritime  Engineering.  Third  edition 
with  24  plates,  8vo,  cloth 900 

STEW  \  RT  (R.  W.).  A  Text  Book  of  Light,  Adapted 
to  the  Requirements  of  the  Intermediate  Science 
and  Preliminary  Scientific  Examinations  of  the  Uni-   . 
versity   of   London,    and    also    for   General   Use, 
Numerous  Diagrams  and  Examples.    12mo,  cloth..  100 

STEWART  (R.  W.).  A  Text  Book  of  Heat,  Illus- 
trated, 8vo,  cloth 100 


A  Text  Book  of  Magnetism  and  Electricity,    160 


lllus.  and  Numerous  Examples.    12mo,  cloth 1  00 

STILES  (AMOS).  Tables  for  Field  Engineers.  De- 
signed for  use  in  the  field.  T<  bles  containing  all 
the  functions  of  a  one  degree  curve,  from  which  a 
corresponding  one  can  be  found  for  any  required 


SCIENTIFIC   PUBLICATION.  35 

degree.  Also,  Tables  of  Natural  Sines  and  Tangents. 

1 2mo,  morocco,  lucks 2  00 

STILLMAN  (PAUL,).  Steam  Engine  Indicator  and 
the  Improved  Manometer  Steam  and  Vacuum 
Gauges;  their  Utility  and  Application.  New  edition. 
12mo,  flexible  cloth 1  00 

STONE  (General  ROY).  New  Roads  and  Road  Laws 
in  the  United  States.  200  pages,  with  numerous 
illustrations.  12mo,  cloth . .  1  00 

STUART  (C.  B.,  U.  S.  N.).  Lives  and  Works  of  Civil 
and  Military  Engineers  of  America.  With  10  steel- 
plate  engravings.  8 vo,  cloth ..500 

The  Nav^  1  Dry  Docks  of  the  United  States.  Illus- 
trated with  24  fine  Engravings  on  Steel.  Fourth 
edition.  4to,  cloth 6  00 

SWINTON  (ALAN  A.  CAMPBELL).  The  Elemen- 
tary Principle  of  Electric  Lighting.  Illustrated. 
12mo,  cloth  .'. .  60 

TEMPLETON  (WM.).  The  Practical  Mecharic's 
Work-shop  Companion.  Comprising  a  great  variety 
of  the  most  useful  rules  and  formulae  in  Mechanical 
Science,  with  numerous  tables  of  practical  data  and 
calculated  results  facilitating  mechanical  opera- 
tions. Revised  and  enlarged  by  W.  S.  Hutton. 
12mo,  morocco 2  00 

THOM  (CHAS.),  and  WILLIS  H.  JONES.  Teler 
graphic  Connections:  embracing  Recent  Blethods  in 
Quadruplex  Telegraphy.  Oblong,  8vo,  cloth.  2,0  full 
page  plates,  some  colored .  1  50 

THOMPSON  (EDWARD  P.,  M.  E.).  How  to 
M«ke  Inventions;  or  Inventing  as  a  Science  and  an 
Art.  A  Practical  Guide  for  Inventors.,  Seqond 
edition.  8vo,  boards  ...  .  1  00 

Roentgen  Rays  and  Phenomena  of  the  Arode  and 

Cathode  Prin  iples,  Applications  and  Theories. 
For  Students,  Teachers,  Physicians,  Photographer, 
Electricians  and  others.  Assisted  by  Louis  M. 
Pignolet,  N.  D.  C.  Hodges,  and  Ludwig  Gutmann,  E. 
E.  With  a  Chapter  on  Generalizations,  Arguments, 
Theories,  Kindred  Radiations  and  Phenomena.  By 
Professor  Wm.  Anthony.  8vo,  cloth.  50  Diagrams, 
40  Half  tones -. . ,  1  50 


36  D.   VAN  NOSTRAND   COMPANY'S 

TODD  (JOHN),  and  W.  B.  WHAIX.  Practical 
Seamanship  for  Use  in  the  Merchant  Service:  Includ- 
ing all  ordinary  subjects;  also  Steam  Seamanship, 
Wreck  Lifting,  Avoiding  Collision. Wire  Sp  icing,  Dis- 
placement, and  everything  necessary  to  be  known 
by  seamen  of  the  present  day.  Second  edition,  with 
247  illustrations  and  diagrams.  8vo,  cloth 840 

TOOTHED  GEARJNG.  A  Practical  Hand-book  for 
Offices  and  Workshops.  By  a  Foreman  Pattern- 
maker. 184  Illustrations .  12mo,  cloth 2  25 

TBATMAN  (E.  E.  RUSSEUL).  Railway  Track  and 
Track  Work.  With  over  two  hundred  illustrations. 
8vo,  cloth 3  00 

TREVERT  (EDWARD).  How  to  Build  Dynamo- 
Electric  Machinery,  embracing  .Theory  Designing 
and  Construction  of  Dynamos  and  Motors.  With 
appendices  on  Field  Magnet  and  Armature  Winding, 
Management  of  Dynamos  and  Motors,  and  Useful 
Tables  of  Wire  G  uges.  Illustrated.  8vo,  cloth  .  .  2  50 

Electricity  and  its  Recent  Applications.  A  Prac- 
tical Treatise  for  Students  and  Amateurs,  with  an 
Illustrated  Dictionary  of  Electrical  Terms  and 
Phrases.  Illustrated.  12mo,  cloth 2  00 

TUCKER  (Dr.  J.  H.).  A  Manual  of  Sugar  Analysis, 
including  the  Applications  in  General  of  Analytical 
Methods  to  the  Sugar  Industry.  With  an  Introduc- 
tion on  the  Chemistry  of  Cane  Sugar.  Dextrose, 
Levulose,  and  Milk  Sugar.  8vo,  cloth.  Illustrated.  3  05 

TUMLJRZ  (Dr.  O.).  Potential  and  its  Application  to 
the  Explanation  of  Electric  Phenomena,  Popularly 
Treated.  Translated  from  the  German  by  D.  Robert- 
son. Illustrated.  12mo,  cloth 125 

TUNNER  (P.  A.).  Treatise  on  Roll-Turning  for  the 
Manufacture  of  Iron.  Translated  and  adapted  by 
John  B.  Pearse,  of  the  Pennsylvania  Steel  Works, 
with  numerous  engravings,  wood-cuts.  8vo,  cloth, 
with  folio  atlas  of  plates 10  00 

URQUHART  (J.  W.).  Electric  Light  Fitting.  Em- 
bodying Practical  Notes  on  Installation  iVJanagement. 
A  Hand-book  for  Working  Electrical  Engineers — 
with  numerous  illustrations.  12mo,  cloth 200 

Electro-Plating.  A  Practical  Handbook  on  the 

Deposition  of  Copper,  Silver,  Nickel,  Uold,  Brass, 
Aluminum,  Platinum,  etc.  Fourth  edition.  12mo..  2  00 


THE  VAN  NOSTRAND  SCIENCE  SERIES. 


No.  100.—  HOW  TO  BECOME  AN  ENGINEER,  or  the  Theo- 
retical and  Practical  Training  necessary  in  fitting 
for  the  duties  of  the  Civil  Engineer.  By  Prof. 
£teo.  W.  Plympton. 

No.  101.—  THE  SEXTANT,  and  other  Reflecting  Mathemati- 
cal Instruments.  With  Practical  Hints  for  their 
adjustment  and  use.  By  F.  R.  Brainard,  U.  8. 
Navy. 

No.  102.—  THE  GALVANIC  CIRCUIT  INVESTIGATED 
MATHEMATICALLY.  By  Dr.  G.  S.  Ohm,  Ber- 
lin, 1827.  Translated  by  William  Francis.  With 
Preface  and  Notes  by  the  Editor,  Thomas  D. 
Lockwood,  M.I.E.E. 

No.  103.—  THE  MICROSCOPICAL  EXAMINATION  OF 
POTABLE  WATER.  With  Diagrams.  By  Geo. 
W.  Rafter. 

No.  104.—  VAN  NOSTRAND'S  'TABLE  BOOK  FOR  IL 
AND  MECHANICAL  ENGINEERS.  7  led 
by  Prof.  Geo.  W.  Plympton, 

No.  105.—  DETERMINANTS.    An  Introduction  idy 

of,  with  Examples  and  Applica*'  !of«, 
G.  A.  Miller. 

No.  106.—  COMPRESSED     AIR.      Expe"  the 

in 
W. 

,..                           enney.         e    ransmss  i  of 

Power  from  Central  Sta*  Ur. 
By  Prof.  W.  C.  Unwin 

No.  71  107<_A  GRAPHICAL  MET*"  ES. 

A  Rational  and  Y  the 

No.  73.—.          Stresses  in  Orr>  an 

Introduction  r  -     ical 

H.  -Statics.    By 

No.  73.-SYMB(£)E  VAT  jthod 

AlArJia^OI]iF  J  Lloyd 

No.  74.—  TESTING  IV*  actor,  U. 
STRUCTIO.  O 

No.  75.-RECENT  PROv  ^  P  ^  ^  Mf  rmc  CUR~ 

MACHINES.  KQ  fa  +J  ^  *  .truments.  By 

Electric  MachiL.  .lectrical  Enei^y. 

Thompson.  ued,  with  Preface, 

No.  76.-MODERN  REPRODUCE  Folding  Plate  and 
CESSES.  By  Lieut.  Jaii. 


No.  78.- 

No.  79.-THE  FIGURE  OF  THE  EAETH.  ^^Notes  on  the 
Roberts,  C.E.  ^cond  edition. 

No.  80.-HEALTH1  FOUNDATIONS  FOR  HOL^  GepharJ, 
Glenn  Brown. 

Sherman 


TESSSTT    BOOKIIB 

—  i'OE  — 

Colleges  and  Technological  institutions, 

TEEQBEXCAL  MECHANICS, 

T7!1Ji  aa  Introduction  to  the  Calculus.  Designed  as  a  Text- 
Book  for  Technical  tt  01*00.!  -i  ai;.d  colleges,  and  for  fcfc  .•>  ine  of 
1  -.vineers,  Architects,  &c.  i>y  JULIUS  WEISBAOI,  PL.  X). 
.  fSkiU-d  from  the  C^m-  i,fr  bv  ECKJ.EY  B.  COXK,  A  .  1W,,  Min- 
ing1 Engineer.  One  Volume,  large  8vc,  1113  pages,  808  f  ilu*- 
trations,  ......  ......  ,,,.„  ......  .  ...........  v...  •.....«,  =.:T.io.oo. 

The  GrapMaal  Etatic^  of  Mechamsm,, 

\  Guide  for  the  use  of  Maclxinists.  Architects  o.rul  En- 
iriaocrsj  Mr?,  also  r«  Text-'fjooR  for  'Jechnical  SeLoo]:>,  By 
;  HJSI  AV  HBKMANN-,  Professor  iu  the  Royal  Poly  techrj.lo  bcyxool 
sic  AJ.x-!a-Chapelle>  Translated  and.  Annotated  l>y  A.  P. 
SMITH,  IV*  .  E.  I2mo,.  cloth,  lllus  .  .  ..............  .........  .vS.OO. 

Elementary  Me-ohanisme 

Text-Boole  for  Students  of  Mechanical  Engineering.  By 
Anr  IDB  "F.  WOODS,  Assistant  Engineer  U.  s.  Navy,  Assistant 
Professor  of  Mechanical  Engineering,  Illinois  State  Urd.ver- 
8lt-y\eto.,  and  AI.BBKTW.  STAHL.  M.  K,  Assistant  Engineer 
IT.  i3.  Na^vy,  Professor  of  Mechanical  E*:-v;''r.«?erii:pr,  Punluo 
Uni  -'<.'  c.-.sii;y,  La  Fayeue,  Ind.,  etc,  ISino,  cloth,  iUus,  ..sa.oo. 

A  2fext-Book  of  Mschanios  for  Colleges  and  Tech™ 
nical  Schools, 

By  Professor  T.  W.  WKIGHT.   ISmo,  cloth,  illustrated., 

Analtic  Mechanics. 


An  E'eroentary  Treatise  on  Anab'tJc  Mechanics.  "WJ.t2i 
numerous  examples.  Bv  EI>WA»I>  A.  nowaKK,  L  L.D.  iyii'a\ 
ouuJi  .....  ...  ---------  ,.,..0.,.,  .....  ,  -------  ......  ........,r  oo, 

Elsmeciary  EscbarJ.cs,  ?.»;3;udin§'  Hydrcstatics  and 

Fnsunsatics, 

B>  :?roi  ;ssor  OUTER  J-  LOBOE.  igmoj  clofch,  illustrated.  $l.^r. 
Applied  Kechaaics. 

Compi'ising1  the  Principles  of  Statics  and  Cinematics, 
wl.  "'heory  of  Structures,  Mechanism,  auti  Machines.  VVitli 
numerous  diagrams,  r.y  \¥.  J.  MACQOUKK  KANRINE.  Thor- 
oughly revised  t-y  W.  J.  'MILLAII.  crown  8vo,cloth  ------  $5.00. 


